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Finding the Fourth Proportional to 10,737.88, 14,818.14 and 6,022.12

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Solution

The fourth proportional to 10,737.88, 14,818.14 and 6,022.12 is: 8,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.88 : 14,818.14 = 6,022.12 : x
  2. Step 2: Convert to fraction form
    10,737.88/14,818.14 = 6,022.12/x
  3. Step 3: Cross multiply
    10,737.88x = 14,818.14 × 6,022.12
  4. Step 4: Simplify right side
    10,737.88x = 89,236,617.26
  5. Step 5: Solve for x
    x = 89,236,617.26/10,737.88
  6. Step 6: Final answer
    x = 8,310.45

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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.