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Finding the Fourth Proportional to 10,737.38, 14,828.85 and 7,388.84

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Solution

The fourth proportional to 10,737.38, 14,828.85 and 7,388.84 is: 10,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.38 : 14,828.85 = 7,388.84 : x
  2. Step 2: Convert to fraction form
    10,737.38/14,828.85 = 7,388.84/x
  3. Step 3: Cross multiply
    10,737.38x = 14,828.85 × 7,388.84
  4. Step 4: Simplify right side
    10,737.38x = 109,568,037.11
  5. Step 5: Solve for x
    x = 109,568,037.11/10,737.38
  6. Step 6: Final answer
    x = 10,204.35

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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.