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Finding the Fourth Proportional to 6,633.98, 9,929.33 and 4,878.51

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Solution

The fourth proportional to 6,633.98, 9,929.33 and 4,878.51 is: 7,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.98 : 9,929.33 = 4,878.51 : x
  2. Step 2: Convert to fraction form
    6,633.98/9,929.33 = 4,878.51/x
  3. Step 3: Cross multiply
    6,633.98x = 9,929.33 × 4,878.51
  4. Step 4: Simplify right side
    6,633.98x = 48,440,335.70
  5. Step 5: Solve for x
    x = 48,440,335.70/6,633.98
  6. Step 6: Final answer
    x = 7,301.85

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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.