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Finding the Fourth Proportional to 6,987.60, 10,459.80 and 4,057.20

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Solution

The fourth proportional to 6,987.60, 10,459.80 and 4,057.20 is: 6,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.60 : 10,459.80 = 4,057.20 : x
  2. Step 2: Convert to fraction form
    6,987.60/10,459.80 = 4,057.20/x
  3. Step 3: Cross multiply
    6,987.60x = 10,459.80 × 4,057.20
  4. Step 4: Simplify right side
    6,987.60x = 42,437,500.56
  5. Step 5: Solve for x
    x = 42,437,500.56/6,987.60
  6. Step 6: Final answer
    x = 6,073.26

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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.