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Finding the Fourth Proportional to 8,369.12, 12,549.13 and 5,407.16

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Solution

The fourth proportional to 8,369.12, 12,549.13 and 5,407.16 is: 8,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.12 : 12,549.13 = 5,407.16 : x
  2. Step 2: Convert to fraction form
    8,369.12/12,549.13 = 5,407.16/x
  3. Step 3: Cross multiply
    8,369.12x = 12,549.13 × 5,407.16
  4. Step 4: Simplify right side
    8,369.12x = 67,855,077.51
  5. Step 5: Solve for x
    x = 67,855,077.51/8,369.12
  6. Step 6: Final answer
    x = 8,107.79

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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.