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Finding the Fourth Proportional to 6,406.80, 9,610.20 and 6,066.60

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Solution

The fourth proportional to 6,406.80, 9,610.20 and 6,066.60 is: 9,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.80 : 9,610.20 = 6,066.60 : x
  2. Step 2: Convert to fraction form
    6,406.80/9,610.20 = 6,066.60/x
  3. Step 3: Cross multiply
    6,406.80x = 9,610.20 × 6,066.60
  4. Step 4: Simplify right side
    6,406.80x = 58,301,239.32
  5. Step 5: Solve for x
    x = 58,301,239.32/6,406.80
  6. Step 6: Final answer
    x = 9,099.90

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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.