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Finding the Fourth Proportional to 14,042.42, 19,378.49 and 7,754.76

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Solution

The fourth proportional to 14,042.42, 19,378.49 and 7,754.76 is: 10,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.42 : 19,378.49 = 7,754.76 : x
  2. Step 2: Convert to fraction form
    14,042.42/19,378.49 = 7,754.76/x
  3. Step 3: Cross multiply
    14,042.42x = 19,378.49 × 7,754.76
  4. Step 4: Simplify right side
    14,042.42x = 150,275,539.11
  5. Step 5: Solve for x
    x = 150,275,539.11/14,042.42
  6. Step 6: Final answer
    x = 10,701.54

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Half scale
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Double scale
Find fourth proportional to 14,043.42, 19,379.87 and 7,755.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.