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Finding the Fourth Proportional to 6,712.59, 9,262.90 and 3,728.19

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Solution

The fourth proportional to 6,712.59, 9,262.90 and 3,728.19 is: 5,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.59 : 9,262.90 = 3,728.19 : x
  2. Step 2: Convert to fraction form
    6,712.59/9,262.90 = 3,728.19/x
  3. Step 3: Cross multiply
    6,712.59x = 9,262.90 × 3,728.19
  4. Step 4: Simplify right side
    6,712.59x = 34,533,851.15
  5. Step 5: Solve for x
    x = 34,533,851.15/6,712.59
  6. Step 6: Final answer
    x = 5,144.64

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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.