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Finding the Fourth Proportional to 10,660.60, 15,971.70 and 9,431.80

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Solution

The fourth proportional to 10,660.60, 15,971.70 and 9,431.80 is: 14,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.60 : 15,971.70 = 9,431.80 : x
  2. Step 2: Convert to fraction form
    10,660.60/15,971.70 = 9,431.80/x
  3. Step 3: Cross multiply
    10,660.60x = 15,971.70 × 9,431.80
  4. Step 4: Simplify right side
    10,660.60x = 150,641,880.06
  5. Step 5: Solve for x
    x = 150,641,880.06/10,660.60
  6. Step 6: Final answer
    x = 14,130.71

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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.