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Finding the Fourth Proportional to 10,659.60, 15,987.12 and 5,984.16

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Solution

The fourth proportional to 10,659.60, 15,987.12 and 5,984.16 is: 8,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.60 : 15,987.12 = 5,984.16 : x
  2. Step 2: Convert to fraction form
    10,659.60/15,987.12 = 5,984.16/x
  3. Step 3: Cross multiply
    10,659.60x = 15,987.12 × 5,984.16
  4. Step 4: Simplify right side
    10,659.60x = 95,669,484.02
  5. Step 5: Solve for x
    x = 95,669,484.02/10,659.60
  6. Step 6: Final answer
    x = 8,974.96

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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.