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Finding the Fourth Proportional to 9,145.80, 13,718.70 and 5,452.20

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Solution

The fourth proportional to 9,145.80, 13,718.70 and 5,452.20 is: 8,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.80 : 13,718.70 = 5,452.20 : x
  2. Step 2: Convert to fraction form
    9,145.80/13,718.70 = 5,452.20/x
  3. Step 3: Cross multiply
    9,145.80x = 13,718.70 × 5,452.20
  4. Step 4: Simplify right side
    9,145.80x = 74,797,096.14
  5. Step 5: Solve for x
    x = 74,797,096.14/9,145.80
  6. Step 6: Final answer
    x = 8,178.30

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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.