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Finding the Fourth Proportional to 10,661.40, 15,971.70 and 5,729.40

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Solution

The fourth proportional to 10,661.40, 15,971.70 and 5,729.40 is: 8,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.40 : 15,971.70 = 5,729.40 : x
  2. Step 2: Convert to fraction form
    10,661.40/15,971.70 = 5,729.40/x
  3. Step 3: Cross multiply
    10,661.40x = 15,971.70 × 5,729.40
  4. Step 4: Simplify right side
    10,661.40x = 91,508,257.98
  5. Step 5: Solve for x
    x = 91,508,257.98/10,661.40
  6. Step 6: Final answer
    x = 8,583.14

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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.