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Finding the Fourth Proportional to 6,593.82, 9,898.47 and 5,208.18

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Solution

The fourth proportional to 6,593.82, 9,898.47 and 5,208.18 is: 7,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.82 : 9,898.47 = 5,208.18 : x
  2. Step 2: Convert to fraction form
    6,593.82/9,898.47 = 5,208.18/x
  3. Step 3: Cross multiply
    6,593.82x = 9,898.47 × 5,208.18
  4. Step 4: Simplify right side
    6,593.82x = 51,553,013.48
  5. Step 5: Solve for x
    x = 51,553,013.48/6,593.82
  6. Step 6: Final answer
    x = 7,818.38

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1.5x scale

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.