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Finding the Fourth Proportional to 7,146.87, 9,867.50 and 4,462.18

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Solution

The fourth proportional to 7,146.87, 9,867.50 and 4,462.18 is: 6,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.87 : 9,867.50 = 4,462.18 : x
  2. Step 2: Convert to fraction form
    7,146.87/9,867.50 = 4,462.18/x
  3. Step 3: Cross multiply
    7,146.87x = 9,867.50 × 4,462.18
  4. Step 4: Simplify right side
    7,146.87x = 44,030,561.15
  5. Step 5: Solve for x
    x = 44,030,561.15/7,146.87
  6. Step 6: Final answer
    x = 6,160.82

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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.