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Finding the Fourth Proportional to 16,341.60, 24,512.40 and 6,475.80

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Solution

The fourth proportional to 16,341.60, 24,512.40 and 6,475.80 is: 9,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.60 : 24,512.40 = 6,475.80 : x
  2. Step 2: Convert to fraction form
    16,341.60/24,512.40 = 6,475.80/x
  3. Step 3: Cross multiply
    16,341.60x = 24,512.40 × 6,475.80
  4. Step 4: Simplify right side
    16,341.60x = 158,737,399.92
  5. Step 5: Solve for x
    x = 158,737,399.92/16,341.60
  6. Step 6: Final answer
    x = 9,713.70

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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.