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Finding the Fourth Proportional to 12,442.68, 17,171.10 and 6,853.68

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Solution

The fourth proportional to 12,442.68, 17,171.10 and 6,853.68 is: 9,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.68 : 17,171.10 = 6,853.68 : x
  2. Step 2: Convert to fraction form
    12,442.68/17,171.10 = 6,853.68/x
  3. Step 3: Cross multiply
    12,442.68x = 17,171.10 × 6,853.68
  4. Step 4: Simplify right side
    12,442.68x = 117,685,224.65
  5. Step 5: Solve for x
    x = 117,685,224.65/12,442.68
  6. Step 6: Final answer
    x = 9,458.19

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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.