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Finding the Fourth Proportional to 9,153.73, 13,738.49 and 6,024.84

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Solution

The fourth proportional to 9,153.73, 13,738.49 and 6,024.84 is: 9,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.73 : 13,738.49 = 6,024.84 : x
  2. Step 2: Convert to fraction form
    9,153.73/13,738.49 = 6,024.84/x
  3. Step 3: Cross multiply
    9,153.73x = 13,738.49 × 6,024.84
  4. Step 4: Simplify right side
    9,153.73x = 82,772,204.09
  5. Step 5: Solve for x
    x = 82,772,204.09/9,153.73
  6. Step 6: Final answer
    x = 9,042.46

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1.5x scale

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.