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Finding the Fourth Proportional to 10,351.44, 15,452 and 9,580.48

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Solution

The fourth proportional to 10,351.44, 15,452 and 9,580.48 is: 14,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.44 : 15,452 = 9,580.48 : x
  2. Step 2: Convert to fraction form
    10,351.44/15,452 = 9,580.48/x
  3. Step 3: Cross multiply
    10,351.44x = 15,452 × 9,580.48
  4. Step 4: Simplify right side
    10,351.44x = 148,037,576.96
  5. Step 5: Solve for x
    x = 148,037,576.96/10,351.44
  6. Step 6: Final answer
    x = 14,301.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.