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Finding the Fourth Proportional to 14,042.66, 19,378.50 and 7,754.90

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Solution

The fourth proportional to 14,042.66, 19,378.50 and 7,754.90 is: 10,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.66 : 19,378.50 = 7,754.90 : x
  2. Step 2: Convert to fraction form
    14,042.66/19,378.50 = 7,754.90/x
  3. Step 3: Cross multiply
    14,042.66x = 19,378.50 × 7,754.90
  4. Step 4: Simplify right side
    14,042.66x = 150,278,329.65
  5. Step 5: Solve for x
    x = 150,278,329.65/14,042.66
  6. Step 6: Final answer
    x = 10,701.56

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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.