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Finding the Fourth Proportional to 11,869.50, 16,371 and 9,991.11

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Solution

The fourth proportional to 11,869.50, 16,371 and 9,991.11 is: 13,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.50 : 16,371 = 9,991.11 : x
  2. Step 2: Convert to fraction form
    11,869.50/16,371 = 9,991.11/x
  3. Step 3: Cross multiply
    11,869.50x = 16,371 × 9,991.11
  4. Step 4: Simplify right side
    11,869.50x = 163,564,461.81
  5. Step 5: Solve for x
    x = 163,564,461.81/11,869.50
  6. Step 6: Final answer
    x = 13,780.23

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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.