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Finding the Fourth Proportional to 6,601.06, 9,102 and 4,207.84

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Solution

The fourth proportional to 6,601.06, 9,102 and 4,207.84 is: 5,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.06 : 9,102 = 4,207.84 : x
  2. Step 2: Convert to fraction form
    6,601.06/9,102 = 4,207.84/x
  3. Step 3: Cross multiply
    6,601.06x = 9,102 × 4,207.84
  4. Step 4: Simplify right side
    6,601.06x = 38,299,759.68
  5. Step 5: Solve for x
    x = 38,299,759.68/6,601.06
  6. Step 6: Final answer
    x = 5,802.06

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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.