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Finding the Fourth Proportional to 6,599, 9,106.20 and 3,614.86

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Solution

The fourth proportional to 6,599, 9,106.20 and 3,614.86 is: 4,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599 : 9,106.20 = 3,614.86 : x
  2. Step 2: Convert to fraction form
    6,599/9,106.20 = 3,614.86/x
  3. Step 3: Cross multiply
    6,599x = 9,106.20 × 3,614.86
  4. Step 4: Simplify right side
    6,599x = 32,917,638.13
  5. Step 5: Solve for x
    x = 32,917,638.13/6,599
  6. Step 6: Final answer
    x = 4,988.28

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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.