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Finding the Fourth Proportional to 16,141.60, 24,206.24 and 6,279.68

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Solution

The fourth proportional to 16,141.60, 24,206.24 and 6,279.68 is: 9,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.60 : 24,206.24 = 6,279.68 : x
  2. Step 2: Convert to fraction form
    16,141.60/24,206.24 = 6,279.68/x
  3. Step 3: Cross multiply
    16,141.60x = 24,206.24 × 6,279.68
  4. Step 4: Simplify right side
    16,141.60x = 152,007,441.20
  5. Step 5: Solve for x
    x = 152,007,441.20/16,141.60
  6. Step 6: Final answer
    x = 9,417.12

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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.