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Finding the Fourth Proportional to 15,049, 22,574.04 and 4,660.48

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Solution

The fourth proportional to 15,049, 22,574.04 and 4,660.48 is: 6,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,049 : 22,574.04 = 4,660.48 : x
  2. Step 2: Convert to fraction form
    15,049/22,574.04 = 4,660.48/x
  3. Step 3: Cross multiply
    15,049x = 22,574.04 × 4,660.48
  4. Step 4: Simplify right side
    15,049x = 105,205,861.94
  5. Step 5: Solve for x
    x = 105,205,861.94/15,049
  6. Step 6: Final answer
    x = 6,990.89

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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.