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Finding the Fourth Proportional to 9,806.82, 14,718.52 and 4,264.58

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Solution

The fourth proportional to 9,806.82, 14,718.52 and 4,264.58 is: 6,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.82 : 14,718.52 = 4,264.58 : x
  2. Step 2: Convert to fraction form
    9,806.82/14,718.52 = 4,264.58/x
  3. Step 3: Cross multiply
    9,806.82x = 14,718.52 × 4,264.58
  4. Step 4: Simplify right side
    9,806.82x = 62,768,306.02
  5. Step 5: Solve for x
    x = 62,768,306.02/9,806.82
  6. Step 6: Final answer
    x = 6,400.47

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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.