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Finding the Fourth Proportional to 15,644.16, 23,474.88 and 6,408

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Solution

The fourth proportional to 15,644.16, 23,474.88 and 6,408 is: 9,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.16 : 23,474.88 = 6,408 : x
  2. Step 2: Convert to fraction form
    15,644.16/23,474.88 = 6,408/x
  3. Step 3: Cross multiply
    15,644.16x = 23,474.88 × 6,408
  4. Step 4: Simplify right side
    15,644.16x = 150,427,031.04
  5. Step 5: Solve for x
    x = 150,427,031.04/15,644.16
  6. Step 6: Final answer
    x = 9,615.54

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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.