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Finding the Fourth Proportional to 6,542.12, 9,028.12 and 3,557.92

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Solution

The fourth proportional to 6,542.12, 9,028.12 and 3,557.92 is: 4,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.12 : 9,028.12 = 3,557.92 : x
  2. Step 2: Convert to fraction form
    6,542.12/9,028.12 = 3,557.92/x
  3. Step 3: Cross multiply
    6,542.12x = 9,028.12 × 3,557.92
  4. Step 4: Simplify right side
    6,542.12x = 32,121,328.71
  5. Step 5: Solve for x
    x = 32,121,328.71/6,542.12
  6. Step 6: Final answer
    x = 4,909.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.