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Finding the Fourth Proportional to 15,877.80, 21,906.18 and 9,906.60

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Solution

The fourth proportional to 15,877.80, 21,906.18 and 9,906.60 is: 13,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.80 : 21,906.18 = 9,906.60 : x
  2. Step 2: Convert to fraction form
    15,877.80/21,906.18 = 9,906.60/x
  3. Step 3: Cross multiply
    15,877.80x = 21,906.18 × 9,906.60
  4. Step 4: Simplify right side
    15,877.80x = 217,015,762.79
  5. Step 5: Solve for x
    x = 217,015,762.79/15,877.80
  6. Step 6: Final answer
    x = 13,667.87

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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.