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Finding the Fourth Proportional to 7,753.62, 10,702.36 and 7,356.86

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Solution

The fourth proportional to 7,753.62, 10,702.36 and 7,356.86 is: 10,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.62 : 10,702.36 = 7,356.86 : x
  2. Step 2: Convert to fraction form
    7,753.62/10,702.36 = 7,356.86/x
  3. Step 3: Cross multiply
    7,753.62x = 10,702.36 × 7,356.86
  4. Step 4: Simplify right side
    7,753.62x = 78,735,764.19
  5. Step 5: Solve for x
    x = 78,735,764.19/7,753.62
  6. Step 6: Final answer
    x = 10,154.71

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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.