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Finding the Fourth Proportional to 11,308.71, 16,948.41 and 9,738.17

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Solution

The fourth proportional to 11,308.71, 16,948.41 and 9,738.17 is: 14,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.71 : 16,948.41 = 9,738.17 : x
  2. Step 2: Convert to fraction form
    11,308.71/16,948.41 = 9,738.17/x
  3. Step 3: Cross multiply
    11,308.71x = 16,948.41 × 9,738.17
  4. Step 4: Simplify right side
    11,308.71x = 165,046,617.61
  5. Step 5: Solve for x
    x = 165,046,617.61/11,308.71
  6. Step 6: Final answer
    x = 14,594.64

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1.5x scale

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.