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Finding the Fourth Proportional to 16,169.78, 24,263.76 and 6,309.74

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Solution

The fourth proportional to 16,169.78, 24,263.76 and 6,309.74 is: 9,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.78 : 24,263.76 = 6,309.74 : x
  2. Step 2: Convert to fraction form
    16,169.78/24,263.76 = 6,309.74/x
  3. Step 3: Cross multiply
    16,169.78x = 24,263.76 × 6,309.74
  4. Step 4: Simplify right side
    16,169.78x = 153,098,017.02
  5. Step 5: Solve for x
    x = 153,098,017.02/16,169.78
  6. Step 6: Final answer
    x = 9,468.16

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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.