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Finding the Fourth Proportional to 5,686.56, 8,538.84 and 5,062.86

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Solution

The fourth proportional to 5,686.56, 8,538.84 and 5,062.86 is: 7,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.56 : 8,538.84 = 5,062.86 : x
  2. Step 2: Convert to fraction form
    5,686.56/8,538.84 = 5,062.86/x
  3. Step 3: Cross multiply
    5,686.56x = 8,538.84 × 5,062.86
  4. Step 4: Simplify right side
    5,686.56x = 43,230,951.48
  5. Step 5: Solve for x
    x = 43,230,951.48/5,686.56
  6. Step 6: Final answer
    x = 7,602.30

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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.