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Finding the Fourth Proportional to 5,836.56, 8,062.68 and 4,656.12

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Solution

The fourth proportional to 5,836.56, 8,062.68 and 4,656.12 is: 6,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.56 : 8,062.68 = 4,656.12 : x
  2. Step 2: Convert to fraction form
    5,836.56/8,062.68 = 4,656.12/x
  3. Step 3: Cross multiply
    5,836.56x = 8,062.68 × 4,656.12
  4. Step 4: Simplify right side
    5,836.56x = 37,540,805.60
  5. Step 5: Solve for x
    x = 37,540,805.60/5,836.56
  6. Step 6: Final answer
    x = 6,432.01

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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.