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Finding the Fourth Proportional to 11,752.56, 16,197.72 and 9,264.24

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Solution

The fourth proportional to 11,752.56, 16,197.72 and 9,264.24 is: 12,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.56 : 16,197.72 = 9,264.24 : x
  2. Step 2: Convert to fraction form
    11,752.56/16,197.72 = 9,264.24/x
  3. Step 3: Cross multiply
    11,752.56x = 16,197.72 × 9,264.24
  4. Step 4: Simplify right side
    11,752.56x = 150,059,565.53
  5. Step 5: Solve for x
    x = 150,059,565.53/11,752.56
  6. Step 6: Final answer
    x = 12,768.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.