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Finding the Fourth Proportional to 11,498.96, 17,251 and 6,302.16

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Solution

The fourth proportional to 11,498.96, 17,251 and 6,302.16 is: 9,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.96 : 17,251 = 6,302.16 : x
  2. Step 2: Convert to fraction form
    11,498.96/17,251 = 6,302.16/x
  3. Step 3: Cross multiply
    11,498.96x = 17,251 × 6,302.16
  4. Step 4: Simplify right side
    11,498.96x = 108,718,562.16
  5. Step 5: Solve for x
    x = 108,718,562.16/11,498.96
  6. Step 6: Final answer
    x = 9,454.64

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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.