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Finding the Fourth Proportional to 6,257.25, 9,349.11 and 6,039.20

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Solution

The fourth proportional to 6,257.25, 9,349.11 and 6,039.20 is: 9,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.25 : 9,349.11 = 6,039.20 : x
  2. Step 2: Convert to fraction form
    6,257.25/9,349.11 = 6,039.20/x
  3. Step 3: Cross multiply
    6,257.25x = 9,349.11 × 6,039.20
  4. Step 4: Simplify right side
    6,257.25x = 56,461,145.11
  5. Step 5: Solve for x
    x = 56,461,145.11/6,257.25
  6. Step 6: Final answer
    x = 9,023.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.