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Finding the Fourth Proportional to 10,737.14, 14,822.80 and 8,341.74

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Solution

The fourth proportional to 10,737.14, 14,822.80 and 8,341.74 is: 11,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.14 : 14,822.80 = 8,341.74 : x
  2. Step 2: Convert to fraction form
    10,737.14/14,822.80 = 8,341.74/x
  3. Step 3: Cross multiply
    10,737.14x = 14,822.80 × 8,341.74
  4. Step 4: Simplify right side
    10,737.14x = 123,647,943.67
  5. Step 5: Solve for x
    x = 123,647,943.67/10,737.14
  6. Step 6: Final answer
    x = 11,515.91

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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.