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Finding the Fourth Proportional to 7,073.75, 9,762.18 and 3,930.14

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Solution

The fourth proportional to 7,073.75, 9,762.18 and 3,930.14 is: 5,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.75 : 9,762.18 = 3,930.14 : x
  2. Step 2: Convert to fraction form
    7,073.75/9,762.18 = 3,930.14/x
  3. Step 3: Cross multiply
    7,073.75x = 9,762.18 × 3,930.14
  4. Step 4: Simplify right side
    7,073.75x = 38,366,734.11
  5. Step 5: Solve for x
    x = 38,366,734.11/7,073.75
  6. Step 6: Final answer
    x = 5,423.82

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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.