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Finding the Fourth Proportional to 14,025, 19,354.52 and 7,737.80

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Solution

The fourth proportional to 14,025, 19,354.52 and 7,737.80 is: 10,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025 : 19,354.52 = 7,737.80 : x
  2. Step 2: Convert to fraction form
    14,025/19,354.52 = 7,737.80/x
  3. Step 3: Cross multiply
    14,025x = 19,354.52 × 7,737.80
  4. Step 4: Simplify right side
    14,025x = 149,761,404.86
  5. Step 5: Solve for x
    x = 149,761,404.86/14,025
  6. Step 6: Final answer
    x = 10,678.18

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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.