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Finding the Fourth Proportional to 6,489.61, 9,735.10 and 2,979.02

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Solution

The fourth proportional to 6,489.61, 9,735.10 and 2,979.02 is: 4,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.61 : 9,735.10 = 2,979.02 : x
  2. Step 2: Convert to fraction form
    6,489.61/9,735.10 = 2,979.02/x
  3. Step 3: Cross multiply
    6,489.61x = 9,735.10 × 2,979.02
  4. Step 4: Simplify right side
    6,489.61x = 29,001,057.60
  5. Step 5: Solve for x
    x = 29,001,057.60/6,489.61
  6. Step 6: Final answer
    x = 4,468.84

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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.