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Finding the Fourth Proportional to 7,243, 9,995.84 and 4,099.20

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Solution

The fourth proportional to 7,243, 9,995.84 and 4,099.20 is: 5,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243 : 9,995.84 = 4,099.20 : x
  2. Step 2: Convert to fraction form
    7,243/9,995.84 = 4,099.20/x
  3. Step 3: Cross multiply
    7,243x = 9,995.84 × 4,099.20
  4. Step 4: Simplify right side
    7,243x = 40,974,947.33
  5. Step 5: Solve for x
    x = 40,974,947.33/7,243
  6. Step 6: Final answer
    x = 5,657.18

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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.