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Finding the Fourth Proportional to 6,645.16, 9,964.95 and 2,262.88

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Solution

The fourth proportional to 6,645.16, 9,964.95 and 2,262.88 is: 3,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.16 : 9,964.95 = 2,262.88 : x
  2. Step 2: Convert to fraction form
    6,645.16/9,964.95 = 2,262.88/x
  3. Step 3: Cross multiply
    6,645.16x = 9,964.95 × 2,262.88
  4. Step 4: Simplify right side
    6,645.16x = 22,549,486.06
  5. Step 5: Solve for x
    x = 22,549,486.06/6,645.16
  6. Step 6: Final answer
    x = 3,393.37

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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.