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Finding the Fourth Proportional to 16,159.97, 24,235.22 and 6,296.90

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Solution

The fourth proportional to 16,159.97, 24,235.22 and 6,296.90 is: 9,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.97 : 24,235.22 = 6,296.90 : x
  2. Step 2: Convert to fraction form
    16,159.97/24,235.22 = 6,296.90/x
  3. Step 3: Cross multiply
    16,159.97x = 24,235.22 × 6,296.90
  4. Step 4: Simplify right side
    16,159.97x = 152,606,651.38
  5. Step 5: Solve for x
    x = 152,606,651.38/16,159.97
  6. Step 6: Final answer
    x = 9,443.50

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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.