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Finding the Fourth Proportional to 8,467.14, 12,683.95 and 7,829.13

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Solution

The fourth proportional to 8,467.14, 12,683.95 and 7,829.13 is: 11,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.14 : 12,683.95 = 7,829.13 : x
  2. Step 2: Convert to fraction form
    8,467.14/12,683.95 = 7,829.13/x
  3. Step 3: Cross multiply
    8,467.14x = 12,683.95 × 7,829.13
  4. Step 4: Simplify right side
    8,467.14x = 99,304,293.46
  5. Step 5: Solve for x
    x = 99,304,293.46/8,467.14
  6. Step 6: Final answer
    x = 11,728.20

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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.