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Finding the Fourth Proportional to 6,712.12, 9,262.86 and 3,728.24

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Solution

The fourth proportional to 6,712.12, 9,262.86 and 3,728.24 is: 5,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.12 : 9,262.86 = 3,728.24 : x
  2. Step 2: Convert to fraction form
    6,712.12/9,262.86 = 3,728.24/x
  3. Step 3: Cross multiply
    6,712.12x = 9,262.86 × 3,728.24
  4. Step 4: Simplify right side
    6,712.12x = 34,534,165.17
  5. Step 5: Solve for x
    x = 34,534,165.17/6,712.12
  6. Step 6: Final answer
    x = 5,145.05

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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.