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Finding the Fourth Proportional to 13,597.41, 20,377.15 and 7,343.97

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Solution

The fourth proportional to 13,597.41, 20,377.15 and 7,343.97 is: 11,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.41 : 20,377.15 = 7,343.97 : x
  2. Step 2: Convert to fraction form
    13,597.41/20,377.15 = 7,343.97/x
  3. Step 3: Cross multiply
    13,597.41x = 20,377.15 × 7,343.97
  4. Step 4: Simplify right side
    13,597.41x = 149,649,083.51
  5. Step 5: Solve for x
    x = 149,649,083.51/13,597.41
  6. Step 6: Final answer
    x = 11,005.70

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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.