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Finding the Fourth Proportional to 6,602.34, 9,110.16 and 4,086.12

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Solution

The fourth proportional to 6,602.34, 9,110.16 and 4,086.12 is: 5,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.34 : 9,110.16 = 4,086.12 : x
  2. Step 2: Convert to fraction form
    6,602.34/9,110.16 = 4,086.12/x
  3. Step 3: Cross multiply
    6,602.34x = 9,110.16 × 4,086.12
  4. Step 4: Simplify right side
    6,602.34x = 37,225,206.98
  5. Step 5: Solve for x
    x = 37,225,206.98/6,602.34
  6. Step 6: Final answer
    x = 5,638.18

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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.