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Finding the Fourth Proportional to 7,574.75, 11,347.08 and 5,923.56

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Solution

The fourth proportional to 7,574.75, 11,347.08 and 5,923.56 is: 8,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.75 : 11,347.08 = 5,923.56 : x
  2. Step 2: Convert to fraction form
    7,574.75/11,347.08 = 5,923.56/x
  3. Step 3: Cross multiply
    7,574.75x = 11,347.08 × 5,923.56
  4. Step 4: Simplify right side
    7,574.75x = 67,215,109.20
  5. Step 5: Solve for x
    x = 67,215,109.20/7,574.75
  6. Step 6: Final answer
    x = 8,873.58

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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.