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Finding the Fourth Proportional to 7,161.84, 9,877.44 and 5,044.36

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Solution

The fourth proportional to 7,161.84, 9,877.44 and 5,044.36 is: 6,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.84 : 9,877.44 = 5,044.36 : x
  2. Step 2: Convert to fraction form
    7,161.84/9,877.44 = 5,044.36/x
  3. Step 3: Cross multiply
    7,161.84x = 9,877.44 × 5,044.36
  4. Step 4: Simplify right side
    7,161.84x = 49,825,363.24
  5. Step 5: Solve for x
    x = 49,825,363.24/7,161.84
  6. Step 6: Final answer
    x = 6,957.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.