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Finding the Fourth Proportional to 10,349.70, 15,524.70 and 2,954.16

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Solution

The fourth proportional to 10,349.70, 15,524.70 and 2,954.16 is: 4,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.70 : 15,524.70 = 2,954.16 : x
  2. Step 2: Convert to fraction form
    10,349.70/15,524.70 = 2,954.16/x
  3. Step 3: Cross multiply
    10,349.70x = 15,524.70 × 2,954.16
  4. Step 4: Simplify right side
    10,349.70x = 45,862,447.75
  5. Step 5: Solve for x
    x = 45,862,447.75/10,349.70
  6. Step 6: Final answer
    x = 4,431.28

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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.