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Finding the Fourth Proportional to 16,487.64, 24,709.32 and 7,703.64

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Solution

The fourth proportional to 16,487.64, 24,709.32 and 7,703.64 is: 11,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.64 : 24,709.32 = 7,703.64 : x
  2. Step 2: Convert to fraction form
    16,487.64/24,709.32 = 7,703.64/x
  3. Step 3: Cross multiply
    16,487.64x = 24,709.32 × 7,703.64
  4. Step 4: Simplify right side
    16,487.64x = 190,351,705.92
  5. Step 5: Solve for x
    x = 190,351,705.92/16,487.64
  6. Step 6: Final answer
    x = 11,545.12

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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.