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Finding the Fourth Proportional to 11,256.52, 15,531.06 and 9,023.08

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Solution

The fourth proportional to 11,256.52, 15,531.06 and 9,023.08 is: 12,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.52 : 15,531.06 = 9,023.08 : x
  2. Step 2: Convert to fraction form
    11,256.52/15,531.06 = 9,023.08/x
  3. Step 3: Cross multiply
    11,256.52x = 15,531.06 × 9,023.08
  4. Step 4: Simplify right side
    11,256.52x = 140,137,996.86
  5. Step 5: Solve for x
    x = 140,137,996.86/11,256.52
  6. Step 6: Final answer
    x = 12,449.50

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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.