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Finding the Fourth Proportional to 6,275.53, 8,660.16 and 3,442.84

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Solution

The fourth proportional to 6,275.53, 8,660.16 and 3,442.84 is: 4,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.53 : 8,660.16 = 3,442.84 : x
  2. Step 2: Convert to fraction form
    6,275.53/8,660.16 = 3,442.84/x
  3. Step 3: Cross multiply
    6,275.53x = 8,660.16 × 3,442.84
  4. Step 4: Simplify right side
    6,275.53x = 29,815,545.25
  5. Step 5: Solve for x
    x = 29,815,545.25/6,275.53
  6. Step 6: Final answer
    x = 4,751.08

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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.