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Finding the Fourth Proportional to 8,314.04, 12,410.20 and 7,329.92

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Solution

The fourth proportional to 8,314.04, 12,410.20 and 7,329.92 is: 10,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.04 : 12,410.20 = 7,329.92 : x
  2. Step 2: Convert to fraction form
    8,314.04/12,410.20 = 7,329.92/x
  3. Step 3: Cross multiply
    8,314.04x = 12,410.20 × 7,329.92
  4. Step 4: Simplify right side
    8,314.04x = 90,965,773.18
  5. Step 5: Solve for x
    x = 90,965,773.18/8,314.04
  6. Step 6: Final answer
    x = 10,941.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.