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Finding the Fourth Proportional to 38,744, 58,116 and 9,560

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Solution

The fourth proportional to 38,744, 58,116 and 9,560 is: 14,340

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744 : 58,116 = 9,560 : x
  2. Step 2: Convert to fraction form
    38,744/58,116 = 9,560/x
  3. Step 3: Cross multiply
    38,744x = 58,116 × 9,560
  4. Step 4: Simplify right side
    38,744x = 555,588,960
  5. Step 5: Solve for x
    x = 555,588,960/38,744
  6. Step 6: Final answer
    x = 14,340

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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.