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Finding the Fourth Proportional to 11,572.76, 17,345.22 and 5,324.16

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Solution

The fourth proportional to 11,572.76, 17,345.22 and 5,324.16 is: 7,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.76 : 17,345.22 = 5,324.16 : x
  2. Step 2: Convert to fraction form
    11,572.76/17,345.22 = 5,324.16/x
  3. Step 3: Cross multiply
    11,572.76x = 17,345.22 × 5,324.16
  4. Step 4: Simplify right side
    11,572.76x = 92,348,726.52
  5. Step 5: Solve for x
    x = 92,348,726.52/11,572.76
  6. Step 6: Final answer
    x = 7,979.84

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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.