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Finding the Fourth Proportional to 6,585.07, 9,876.23 and 2,424

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Solution

The fourth proportional to 6,585.07, 9,876.23 and 2,424 is: 3,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.07 : 9,876.23 = 2,424 : x
  2. Step 2: Convert to fraction form
    6,585.07/9,876.23 = 2,424/x
  3. Step 3: Cross multiply
    6,585.07x = 9,876.23 × 2,424
  4. Step 4: Simplify right side
    6,585.07x = 23,939,981.52
  5. Step 5: Solve for x
    x = 23,939,981.52/6,585.07
  6. Step 6: Final answer
    x = 3,635.49

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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.