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Finding the Fourth Proportional to 6,590.01, 9,885.71 and 2,148.03

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Solution

The fourth proportional to 6,590.01, 9,885.71 and 2,148.03 is: 3,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.01 : 9,885.71 = 2,148.03 : x
  2. Step 2: Convert to fraction form
    6,590.01/9,885.71 = 2,148.03/x
  3. Step 3: Cross multiply
    6,590.01x = 9,885.71 × 2,148.03
  4. Step 4: Simplify right side
    6,590.01x = 21,234,801.65
  5. Step 5: Solve for x
    x = 21,234,801.65/6,590.01
  6. Step 6: Final answer
    x = 3,222.27

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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.