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Finding the Fourth Proportional to 10,578.43, 14,600.86 and 6,104.87

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Solution

The fourth proportional to 10,578.43, 14,600.86 and 6,104.87 is: 8,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.43 : 14,600.86 = 6,104.87 : x
  2. Step 2: Convert to fraction form
    10,578.43/14,600.86 = 6,104.87/x
  3. Step 3: Cross multiply
    10,578.43x = 14,600.86 × 6,104.87
  4. Step 4: Simplify right side
    10,578.43x = 89,136,318.67
  5. Step 5: Solve for x
    x = 89,136,318.67/10,578.43
  6. Step 6: Final answer
    x = 8,426.23

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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.