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Finding the Fourth Proportional to 8,948.46, 12,348 and 4,968.66

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Solution

The fourth proportional to 8,948.46, 12,348 and 4,968.66 is: 6,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.46 : 12,348 = 4,968.66 : x
  2. Step 2: Convert to fraction form
    8,948.46/12,348 = 4,968.66/x
  3. Step 3: Cross multiply
    8,948.46x = 12,348 × 4,968.66
  4. Step 4: Simplify right side
    8,948.46x = 61,353,013.68
  5. Step 5: Solve for x
    x = 61,353,013.68/8,948.46
  6. Step 6: Final answer
    x = 6,856.27

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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.