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Finding the Fourth Proportional to 10,652.47, 15,978.72 and 5,753.26

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Solution

The fourth proportional to 10,652.47, 15,978.72 and 5,753.26 is: 8,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.47 : 15,978.72 = 5,753.26 : x
  2. Step 2: Convert to fraction form
    10,652.47/15,978.72 = 5,753.26/x
  3. Step 3: Cross multiply
    10,652.47x = 15,978.72 × 5,753.26
  4. Step 4: Simplify right side
    10,652.47x = 91,929,730.63
  5. Step 5: Solve for x
    x = 91,929,730.63/10,652.47
  6. Step 6: Final answer
    x = 8,629.90

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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.