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Finding the Fourth Proportional to 24,628, 36,941.84 and 6,160

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Solution

The fourth proportional to 24,628, 36,941.84 and 6,160 is: 9,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,628 : 36,941.84 = 6,160 : x
  2. Step 2: Convert to fraction form
    24,628/36,941.84 = 6,160/x
  3. Step 3: Cross multiply
    24,628x = 36,941.84 × 6,160
  4. Step 4: Simplify right side
    24,628x = 227,561,734.40
  5. Step 5: Solve for x
    x = 227,561,734.40/24,628
  6. Step 6: Final answer
    x = 9,239.96

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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.