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Finding the Fourth Proportional to 8,371.62, 11,548.48 and 4,966.65

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Solution

The fourth proportional to 8,371.62, 11,548.48 and 4,966.65 is: 6,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.62 : 11,548.48 = 4,966.65 : x
  2. Step 2: Convert to fraction form
    8,371.62/11,548.48 = 4,966.65/x
  3. Step 3: Cross multiply
    8,371.62x = 11,548.48 × 4,966.65
  4. Step 4: Simplify right side
    8,371.62x = 57,357,233.36
  5. Step 5: Solve for x
    x = 57,357,233.36/8,371.62
  6. Step 6: Final answer
    x = 6,851.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.