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Finding the Fourth Proportional to 5,007.56, 7,512.44 and 1,497.56

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Solution

The fourth proportional to 5,007.56, 7,512.44 and 1,497.56 is: 2,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.56 : 7,512.44 = 1,497.56 : x
  2. Step 2: Convert to fraction form
    5,007.56/7,512.44 = 1,497.56/x
  3. Step 3: Cross multiply
    5,007.56x = 7,512.44 × 1,497.56
  4. Step 4: Simplify right side
    5,007.56x = 11,250,284.60
  5. Step 5: Solve for x
    x = 11,250,284.60/5,007.56
  6. Step 6: Final answer
    x = 2,246.66

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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.