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Finding the Fourth Proportional to 6,552.99, 9,823.71 and 2,392.02

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Solution

The fourth proportional to 6,552.99, 9,823.71 and 2,392.02 is: 3,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.99 : 9,823.71 = 2,392.02 : x
  2. Step 2: Convert to fraction form
    6,552.99/9,823.71 = 2,392.02/x
  3. Step 3: Cross multiply
    6,552.99x = 9,823.71 × 2,392.02
  4. Step 4: Simplify right side
    6,552.99x = 23,498,510.79
  5. Step 5: Solve for x
    x = 23,498,510.79/6,552.99
  6. Step 6: Final answer
    x = 3,585.92

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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.