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Finding the Fourth Proportional to 7,041.74, 9,713.17 and 4,352.23

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Solution

The fourth proportional to 7,041.74, 9,713.17 and 4,352.23 is: 6,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.74 : 9,713.17 = 4,352.23 : x
  2. Step 2: Convert to fraction form
    7,041.74/9,713.17 = 4,352.23/x
  3. Step 3: Cross multiply
    7,041.74x = 9,713.17 × 4,352.23
  4. Step 4: Simplify right side
    7,041.74x = 42,273,942.97
  5. Step 5: Solve for x
    x = 42,273,942.97/7,041.74
  6. Step 6: Final answer
    x = 6,003.34

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Half scale
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Double scale
Find fourth proportional to 7,042.74, 9,714.54 and 4,353.23
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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.