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Finding the Fourth Proportional to 6,536.61, 9,801.27 and 2,152.89

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Solution

The fourth proportional to 6,536.61, 9,801.27 and 2,152.89 is: 3,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.61 : 9,801.27 = 2,152.89 : x
  2. Step 2: Convert to fraction form
    6,536.61/9,801.27 = 2,152.89/x
  3. Step 3: Cross multiply
    6,536.61x = 9,801.27 × 2,152.89
  4. Step 4: Simplify right side
    6,536.61x = 21,101,056.17
  5. Step 5: Solve for x
    x = 21,101,056.17/6,536.61
  6. Step 6: Final answer
    x = 3,228.13

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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.