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Finding the Fourth Proportional to 7,188.78, 9,918.54 and 4,535.22

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Solution

The fourth proportional to 7,188.78, 9,918.54 and 4,535.22 is: 6,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.78 : 9,918.54 = 4,535.22 : x
  2. Step 2: Convert to fraction form
    7,188.78/9,918.54 = 4,535.22/x
  3. Step 3: Cross multiply
    7,188.78x = 9,918.54 × 4,535.22
  4. Step 4: Simplify right side
    7,188.78x = 44,982,760.98
  5. Step 5: Solve for x
    x = 44,982,760.98/7,188.78
  6. Step 6: Final answer
    x = 6,257.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.