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Finding the Fourth Proportional to 22,963.50, 34,451.01 and 6,547.50

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Solution

The fourth proportional to 22,963.50, 34,451.01 and 6,547.50 is: 9,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 34,451.01 = 6,547.50 : x
  2. Step 2: Convert to fraction form
    22,963.50/34,451.01 = 6,547.50/x
  3. Step 3: Cross multiply
    22,963.50x = 34,451.01 × 6,547.50
  4. Step 4: Simplify right side
    22,963.50x = 225,567,987.98
  5. Step 5: Solve for x
    x = 225,567,987.98/22,963.50
  6. Step 6: Final answer
    x = 9,822.89

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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.