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Finding the Fourth Proportional to 16,454.87, 24,685.93 and 7,685.00

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Solution

The fourth proportional to 16,454.87, 24,685.93 and 7,685.00 is: 11,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.87 : 24,685.93 = 7,685.00 : x
  2. Step 2: Convert to fraction form
    16,454.87/24,685.93 = 7,685.00/x
  3. Step 3: Cross multiply
    16,454.87x = 24,685.93 × 7,685.00
  4. Step 4: Simplify right side
    16,454.87x = 189,711,248.62
  5. Step 5: Solve for x
    x = 189,711,248.62/16,454.87
  6. Step 6: Final answer
    x = 11,529.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.