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Finding the Fourth Proportional to 7,391.93, 10,202.13 and 7,059.77

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Solution

The fourth proportional to 7,391.93, 10,202.13 and 7,059.77 is: 9,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.93 : 10,202.13 = 7,059.77 : x
  2. Step 2: Convert to fraction form
    7,391.93/10,202.13 = 7,059.77/x
  3. Step 3: Cross multiply
    7,391.93x = 10,202.13 × 7,059.77
  4. Step 4: Simplify right side
    7,391.93x = 72,024,691.31
  5. Step 5: Solve for x
    x = 72,024,691.31/7,391.93
  6. Step 6: Final answer
    x = 9,743.69

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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.