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Finding the Fourth Proportional to 7,702.62, 10,632.24 and 5,931.96

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Solution

The fourth proportional to 7,702.62, 10,632.24 and 5,931.96 is: 8,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.62 : 10,632.24 = 5,931.96 : x
  2. Step 2: Convert to fraction form
    7,702.62/10,632.24 = 5,931.96/x
  3. Step 3: Cross multiply
    7,702.62x = 10,632.24 × 5,931.96
  4. Step 4: Simplify right side
    7,702.62x = 63,070,022.39
  5. Step 5: Solve for x
    x = 63,070,022.39/7,702.62
  6. Step 6: Final answer
    x = 8,188.13

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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.