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Finding the Fourth Proportional to 6,113.04, 9,169.52 and 1,496

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Solution

The fourth proportional to 6,113.04, 9,169.52 and 1,496 is: 2,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.04 : 9,169.52 = 1,496 : x
  2. Step 2: Convert to fraction form
    6,113.04/9,169.52 = 1,496/x
  3. Step 3: Cross multiply
    6,113.04x = 9,169.52 × 1,496
  4. Step 4: Simplify right side
    6,113.04x = 13,717,601.92
  5. Step 5: Solve for x
    x = 13,717,601.92/6,113.04
  6. Step 6: Final answer
    x = 2,243.99

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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.