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Finding the Fourth Proportional to 10,487.38, 14,472.62 and 6,011.40

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Solution

The fourth proportional to 10,487.38, 14,472.62 and 6,011.40 is: 8,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.38 : 14,472.62 = 6,011.40 : x
  2. Step 2: Convert to fraction form
    10,487.38/14,472.62 = 6,011.40/x
  3. Step 3: Cross multiply
    10,487.38x = 14,472.62 × 6,011.40
  4. Step 4: Simplify right side
    10,487.38x = 87,000,707.87
  5. Step 5: Solve for x
    x = 87,000,707.87/10,487.38
  6. Step 6: Final answer
    x = 8,295.75

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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.