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Finding the Fourth Proportional to 7,162.84, 10,744.80 and 4,658.32

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Solution

The fourth proportional to 7,162.84, 10,744.80 and 4,658.32 is: 6,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.84 : 10,744.80 = 4,658.32 : x
  2. Step 2: Convert to fraction form
    7,162.84/10,744.80 = 4,658.32/x
  3. Step 3: Cross multiply
    7,162.84x = 10,744.80 × 4,658.32
  4. Step 4: Simplify right side
    7,162.84x = 50,052,716.74
  5. Step 5: Solve for x
    x = 50,052,716.74/7,162.84
  6. Step 6: Final answer
    x = 6,987.83

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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.