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Finding the Fourth Proportional to 7,001.84, 10,502.92 and 2,071.48

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Solution

The fourth proportional to 7,001.84, 10,502.92 and 2,071.48 is: 3,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.84 : 10,502.92 = 2,071.48 : x
  2. Step 2: Convert to fraction form
    7,001.84/10,502.92 = 2,071.48/x
  3. Step 3: Cross multiply
    7,001.84x = 10,502.92 × 2,071.48
  4. Step 4: Simplify right side
    7,001.84x = 21,756,588.72
  5. Step 5: Solve for x
    x = 21,756,588.72/7,001.84
  6. Step 6: Final answer
    x = 3,107.27

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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.