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Finding the Fourth Proportional to 7,077, 10,614.65 and 2,397

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Solution

The fourth proportional to 7,077, 10,614.65 and 2,397 is: 3,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077 : 10,614.65 = 2,397 : x
  2. Step 2: Convert to fraction form
    7,077/10,614.65 = 2,397/x
  3. Step 3: Cross multiply
    7,077x = 10,614.65 × 2,397
  4. Step 4: Simplify right side
    7,077x = 25,443,322.04
  5. Step 5: Solve for x
    x = 25,443,322.04/7,077
  6. Step 6: Final answer
    x = 3,595.21

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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.