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Finding the Fourth Proportional to 6,626.96, 9,145 and 3,642.78

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Solution

The fourth proportional to 6,626.96, 9,145 and 3,642.78 is: 5,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.96 : 9,145 = 3,642.78 : x
  2. Step 2: Convert to fraction form
    6,626.96/9,145 = 3,642.78/x
  3. Step 3: Cross multiply
    6,626.96x = 9,145 × 3,642.78
  4. Step 4: Simplify right side
    6,626.96x = 33,313,223.10
  5. Step 5: Solve for x
    x = 33,313,223.10/6,626.96
  6. Step 6: Final answer
    x = 5,026.92

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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.