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Finding the Fourth Proportional to 7,061.50, 9,745.66 and 4,078.14

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Solution

The fourth proportional to 7,061.50, 9,745.66 and 4,078.14 is: 5,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.50 : 9,745.66 = 4,078.14 : x
  2. Step 2: Convert to fraction form
    7,061.50/9,745.66 = 4,078.14/x
  3. Step 3: Cross multiply
    7,061.50x = 9,745.66 × 4,078.14
  4. Step 4: Simplify right side
    7,061.50x = 39,744,165.87
  5. Step 5: Solve for x
    x = 39,744,165.87/7,061.50
  6. Step 6: Final answer
    x = 5,628.29

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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.