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Finding the Fourth Proportional to 8,971.53, 13,456.24 and 2,398.22

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Solution

The fourth proportional to 8,971.53, 13,456.24 and 2,398.22 is: 3,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.53 : 13,456.24 = 2,398.22 : x
  2. Step 2: Convert to fraction form
    8,971.53/13,456.24 = 2,398.22/x
  3. Step 3: Cross multiply
    8,971.53x = 13,456.24 × 2,398.22
  4. Step 4: Simplify right side
    8,971.53x = 32,271,051.54
  5. Step 5: Solve for x
    x = 32,271,051.54/8,971.53
  6. Step 6: Final answer
    x = 3,597.05

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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.