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Finding the Fourth Proportional to 6,547.56, 9,821.34 and 2,600.04

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Solution

The fourth proportional to 6,547.56, 9,821.34 and 2,600.04 is: 3,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.56 : 9,821.34 = 2,600.04 : x
  2. Step 2: Convert to fraction form
    6,547.56/9,821.34 = 2,600.04/x
  3. Step 3: Cross multiply
    6,547.56x = 9,821.34 × 2,600.04
  4. Step 4: Simplify right side
    6,547.56x = 25,535,876.85
  5. Step 5: Solve for x
    x = 25,535,876.85/6,547.56
  6. Step 6: Final answer
    x = 3,900.06

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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.