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Finding the Fourth Proportional to 6,009.50, 9,014.25 and 2,547.56

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Solution

The fourth proportional to 6,009.50, 9,014.25 and 2,547.56 is: 3,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.50 : 9,014.25 = 2,547.56 : x
  2. Step 2: Convert to fraction form
    6,009.50/9,014.25 = 2,547.56/x
  3. Step 3: Cross multiply
    6,009.50x = 9,014.25 × 2,547.56
  4. Step 4: Simplify right side
    6,009.50x = 22,964,342.73
  5. Step 5: Solve for x
    x = 22,964,342.73/6,009.50
  6. Step 6: Final answer
    x = 3,821.34

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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.