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Finding the Fourth Proportional to 6,386.72, 9,578 and 2,492.48

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Solution

The fourth proportional to 6,386.72, 9,578 and 2,492.48 is: 3,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.72 : 9,578 = 2,492.48 : x
  2. Step 2: Convert to fraction form
    6,386.72/9,578 = 2,492.48/x
  3. Step 3: Cross multiply
    6,386.72x = 9,578 × 2,492.48
  4. Step 4: Simplify right side
    6,386.72x = 23,872,973.44
  5. Step 5: Solve for x
    x = 23,872,973.44/6,386.72
  6. Step 6: Final answer
    x = 3,737.91

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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.