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Finding the Fourth Proportional to 12,537, 17,301.15 and 6,948

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Solution

The fourth proportional to 12,537, 17,301.15 and 6,948 is: 9,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 17,301.15 = 6,948 : x
  2. Step 2: Convert to fraction form
    12,537/17,301.15 = 6,948/x
  3. Step 3: Cross multiply
    12,537x = 17,301.15 × 6,948
  4. Step 4: Simplify right side
    12,537x = 120,208,390.20
  5. Step 5: Solve for x
    x = 120,208,390.20/12,537
  6. Step 6: Final answer
    x = 9,588.29

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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.