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Finding the Fourth Proportional to 7,262.80, 10,019.34 and 4,744.24

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Solution

The fourth proportional to 7,262.80, 10,019.34 and 4,744.24 is: 6,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.80 : 10,019.34 = 4,744.24 : x
  2. Step 2: Convert to fraction form
    7,262.80/10,019.34 = 4,744.24/x
  3. Step 3: Cross multiply
    7,262.80x = 10,019.34 × 4,744.24
  4. Step 4: Simplify right side
    7,262.80x = 47,534,153.60
  5. Step 5: Solve for x
    x = 47,534,153.60/7,262.80
  6. Step 6: Final answer
    x = 6,544.88

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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.