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Finding the Fourth Proportional to 7,044.72, 9,724.84 and 4,493.56

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Solution

The fourth proportional to 7,044.72, 9,724.84 and 4,493.56 is: 6,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.72 : 9,724.84 = 4,493.56 : x
  2. Step 2: Convert to fraction form
    7,044.72/9,724.84 = 4,493.56/x
  3. Step 3: Cross multiply
    7,044.72x = 9,724.84 × 4,493.56
  4. Step 4: Simplify right side
    7,044.72x = 43,699,152.03
  5. Step 5: Solve for x
    x = 43,699,152.03/7,044.72
  6. Step 6: Final answer
    x = 6,203.11

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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.