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Finding the Fourth Proportional to 12,442.41, 17,170.53 and 6,853.41

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Solution

The fourth proportional to 12,442.41, 17,170.53 and 6,853.41 is: 9,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.41 : 17,170.53 = 6,853.41 : x
  2. Step 2: Convert to fraction form
    12,442.41/17,170.53 = 6,853.41/x
  3. Step 3: Cross multiply
    12,442.41x = 17,170.53 × 6,853.41
  4. Step 4: Simplify right side
    12,442.41x = 117,676,647.74
  5. Step 5: Solve for x
    x = 117,676,647.74/12,442.41
  6. Step 6: Final answer
    x = 9,457.71

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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.