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Finding the Fourth Proportional to 8,275.14, 12,415.14 and 4,377.42

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Solution

The fourth proportional to 8,275.14, 12,415.14 and 4,377.42 is: 6,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.14 : 12,415.14 = 4,377.42 : x
  2. Step 2: Convert to fraction form
    8,275.14/12,415.14 = 4,377.42/x
  3. Step 3: Cross multiply
    8,275.14x = 12,415.14 × 4,377.42
  4. Step 4: Simplify right side
    8,275.14x = 54,346,282.14
  5. Step 5: Solve for x
    x = 54,346,282.14/8,275.14
  6. Step 6: Final answer
    x = 6,567.42

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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.