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Finding the Fourth Proportional to 13,883.52, 20,827.20 and 4,652.16

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Solution

The fourth proportional to 13,883.52, 20,827.20 and 4,652.16 is: 6,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.52 : 20,827.20 = 4,652.16 : x
  2. Step 2: Convert to fraction form
    13,883.52/20,827.20 = 4,652.16/x
  3. Step 3: Cross multiply
    13,883.52x = 20,827.20 × 4,652.16
  4. Step 4: Simplify right side
    13,883.52x = 96,891,466.75
  5. Step 5: Solve for x
    x = 96,891,466.75/13,883.52
  6. Step 6: Final answer
    x = 6,978.88

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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.