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Finding the Fourth Proportional to 11,785.56, 16,248.98 and 9,653.24

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Solution

The fourth proportional to 11,785.56, 16,248.98 and 9,653.24 is: 13,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.56 : 16,248.98 = 9,653.24 : x
  2. Step 2: Convert to fraction form
    11,785.56/16,248.98 = 9,653.24/x
  3. Step 3: Cross multiply
    11,785.56x = 16,248.98 × 9,653.24
  4. Step 4: Simplify right side
    11,785.56x = 156,855,174.18
  5. Step 5: Solve for x
    x = 156,855,174.18/11,785.56
  6. Step 6: Final answer
    x = 13,309.10

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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.