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Finding the Fourth Proportional to 11,242.64, 15,512.43 and 6,524.39

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Solution

The fourth proportional to 11,242.64, 15,512.43 and 6,524.39 is: 9,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.64 : 15,512.43 = 6,524.39 : x
  2. Step 2: Convert to fraction form
    11,242.64/15,512.43 = 6,524.39/x
  3. Step 3: Cross multiply
    11,242.64x = 15,512.43 × 6,524.39
  4. Step 4: Simplify right side
    11,242.64x = 101,209,143.17
  5. Step 5: Solve for x
    x = 101,209,143.17/11,242.64
  6. Step 6: Final answer
    x = 9,002.26

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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.