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Finding the Fourth Proportional to 14,025.64, 19,354.39 and 7,737.88

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Solution

The fourth proportional to 14,025.64, 19,354.39 and 7,737.88 is: 10,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.64 : 19,354.39 = 7,737.88 : x
  2. Step 2: Convert to fraction form
    14,025.64/19,354.39 = 7,737.88/x
  3. Step 3: Cross multiply
    14,025.64x = 19,354.39 × 7,737.88
  4. Step 4: Simplify right side
    14,025.64x = 149,761,947.29
  5. Step 5: Solve for x
    x = 149,761,947.29/14,025.64
  6. Step 6: Final answer
    x = 10,677.73

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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.