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Finding the Fourth Proportional to 7,565, 11,347.50 and 2,371

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Solution

The fourth proportional to 7,565, 11,347.50 and 2,371 is: 3,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565 : 11,347.50 = 2,371 : x
  2. Step 2: Convert to fraction form
    7,565/11,347.50 = 2,371/x
  3. Step 3: Cross multiply
    7,565x = 11,347.50 × 2,371
  4. Step 4: Simplify right side
    7,565x = 26,904,922.50
  5. Step 5: Solve for x
    x = 26,904,922.50/7,565
  6. Step 6: Final answer
    x = 3,556.50

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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.