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Finding the Fourth Proportional to 8,542.53, 12,812.84 and 2,303.17

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Solution

The fourth proportional to 8,542.53, 12,812.84 and 2,303.17 is: 3,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.53 : 12,812.84 = 2,303.17 : x
  2. Step 2: Convert to fraction form
    8,542.53/12,812.84 = 2,303.17/x
  3. Step 3: Cross multiply
    8,542.53x = 12,812.84 × 2,303.17
  4. Step 4: Simplify right side
    8,542.53x = 29,510,122.43
  5. Step 5: Solve for x
    x = 29,510,122.43/8,542.53
  6. Step 6: Final answer
    x = 3,454.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.