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Finding the Fourth Proportional to 8,948.16, 12,346.97 and 4,969.17

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Solution

The fourth proportional to 8,948.16, 12,346.97 and 4,969.17 is: 6,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.16 : 12,346.97 = 4,969.17 : x
  2. Step 2: Convert to fraction form
    8,948.16/12,346.97 = 4,969.17/x
  3. Step 3: Cross multiply
    8,948.16x = 12,346.97 × 4,969.17
  4. Step 4: Simplify right side
    8,948.16x = 61,354,168.07
  5. Step 5: Solve for x
    x = 61,354,168.07/8,948.16
  6. Step 6: Final answer
    x = 6,856.62

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1.5x scale

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.