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Finding the Fourth Proportional to 7,496, 10,343.84 and 4,843.52

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Solution

The fourth proportional to 7,496, 10,343.84 and 4,843.52 is: 6,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496 : 10,343.84 = 4,843.52 : x
  2. Step 2: Convert to fraction form
    7,496/10,343.84 = 4,843.52/x
  3. Step 3: Cross multiply
    7,496x = 10,343.84 × 4,843.52
  4. Step 4: Simplify right side
    7,496x = 50,100,595.92
  5. Step 5: Solve for x
    x = 50,100,595.92/7,496
  6. Step 6: Final answer
    x = 6,683.64

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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.