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Finding the Fourth Proportional to 7,551.75, 11,306.75 and 5,697.24

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Solution

The fourth proportional to 7,551.75, 11,306.75 and 5,697.24 is: 8,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.75 : 11,306.75 = 5,697.24 : x
  2. Step 2: Convert to fraction form
    7,551.75/11,306.75 = 5,697.24/x
  3. Step 3: Cross multiply
    7,551.75x = 11,306.75 × 5,697.24
  4. Step 4: Simplify right side
    7,551.75x = 64,417,239.88
  5. Step 5: Solve for x
    x = 64,417,239.88/7,551.75
  6. Step 6: Final answer
    x = 8,530.11

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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.