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Finding the Fourth Proportional to 8,970.78, 13,456.95 and 2,397

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Solution

The fourth proportional to 8,970.78, 13,456.95 and 2,397 is: 3,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.78 : 13,456.95 = 2,397 : x
  2. Step 2: Convert to fraction form
    8,970.78/13,456.95 = 2,397/x
  3. Step 3: Cross multiply
    8,970.78x = 13,456.95 × 2,397
  4. Step 4: Simplify right side
    8,970.78x = 32,256,309.15
  5. Step 5: Solve for x
    x = 32,256,309.15/8,970.78
  6. Step 6: Final answer
    x = 3,595.71

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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.