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Finding the Fourth Proportional to 6,599.37, 9,106.56 and 3,615.15

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Solution

The fourth proportional to 6,599.37, 9,106.56 and 3,615.15 is: 4,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.37 : 9,106.56 = 3,615.15 : x
  2. Step 2: Convert to fraction form
    6,599.37/9,106.56 = 3,615.15/x
  3. Step 3: Cross multiply
    6,599.37x = 9,106.56 × 3,615.15
  4. Step 4: Simplify right side
    6,599.37x = 32,921,580.38
  5. Step 5: Solve for x
    x = 32,921,580.38/6,599.37
  6. Step 6: Final answer
    x = 4,988.59

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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.