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Finding the Fourth Proportional to 8,443.52, 11,651.28 and 5,294.24

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Solution

The fourth proportional to 8,443.52, 11,651.28 and 5,294.24 is: 7,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.52 : 11,651.28 = 5,294.24 : x
  2. Step 2: Convert to fraction form
    8,443.52/11,651.28 = 5,294.24/x
  3. Step 3: Cross multiply
    8,443.52x = 11,651.28 × 5,294.24
  4. Step 4: Simplify right side
    8,443.52x = 61,684,672.63
  5. Step 5: Solve for x
    x = 61,684,672.63/8,443.52
  6. Step 6: Final answer
    x = 7,305.56

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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.