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Finding the Fourth Proportional to 8,273.84, 12,412.68 and 3,658.16

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Solution

The fourth proportional to 8,273.84, 12,412.68 and 3,658.16 is: 5,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.84 : 12,412.68 = 3,658.16 : x
  2. Step 2: Convert to fraction form
    8,273.84/12,412.68 = 3,658.16/x
  3. Step 3: Cross multiply
    8,273.84x = 12,412.68 × 3,658.16
  4. Step 4: Simplify right side
    8,273.84x = 45,407,569.47
  5. Step 5: Solve for x
    x = 45,407,569.47/8,273.84
  6. Step 6: Final answer
    x = 5,488.09

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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.