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Finding the Fourth Proportional to 6,388.38, 9,582.98 and 2,006.01

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Solution

The fourth proportional to 6,388.38, 9,582.98 and 2,006.01 is: 3,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.38 : 9,582.98 = 2,006.01 : x
  2. Step 2: Convert to fraction form
    6,388.38/9,582.98 = 2,006.01/x
  3. Step 3: Cross multiply
    6,388.38x = 9,582.98 × 2,006.01
  4. Step 4: Simplify right side
    6,388.38x = 19,223,587.91
  5. Step 5: Solve for x
    x = 19,223,587.91/6,388.38
  6. Step 6: Final answer
    x = 3,009.15

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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.