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Finding the Fourth Proportional to 7,563.92, 11,347.68 and 7,438.38

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Solution

The fourth proportional to 7,563.92, 11,347.68 and 7,438.38 is: 11,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.92 : 11,347.68 = 7,438.38 : x
  2. Step 2: Convert to fraction form
    7,563.92/11,347.68 = 7,438.38/x
  3. Step 3: Cross multiply
    7,563.92x = 11,347.68 × 7,438.38
  4. Step 4: Simplify right side
    7,563.92x = 84,408,355.96
  5. Step 5: Solve for x
    x = 84,408,355.96/7,563.92
  6. Step 6: Final answer
    x = 11,159.35

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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.