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Finding the Fourth Proportional to 11,077.40, 16,616.10 and 9,781.40

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Solution

The fourth proportional to 11,077.40, 16,616.10 and 9,781.40 is: 14,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.40 : 16,616.10 = 9,781.40 : x
  2. Step 2: Convert to fraction form
    11,077.40/16,616.10 = 9,781.40/x
  3. Step 3: Cross multiply
    11,077.40x = 16,616.10 × 9,781.40
  4. Step 4: Simplify right side
    11,077.40x = 162,528,720.54
  5. Step 5: Solve for x
    x = 162,528,720.54/11,077.40
  6. Step 6: Final answer
    x = 14,672.10

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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.