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Finding the Fourth Proportional to 7,561, 11,341.50 and 2,944

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Solution

The fourth proportional to 7,561, 11,341.50 and 2,944 is: 4,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561 : 11,341.50 = 2,944 : x
  2. Step 2: Convert to fraction form
    7,561/11,341.50 = 2,944/x
  3. Step 3: Cross multiply
    7,561x = 11,341.50 × 2,944
  4. Step 4: Simplify right side
    7,561x = 33,389,376
  5. Step 5: Solve for x
    x = 33,389,376/7,561
  6. Step 6: Final answer
    x = 4,416

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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.