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Finding the Fourth Proportional to 10,755.84, 14,843.72 and 6,040.13

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Solution

The fourth proportional to 10,755.84, 14,843.72 and 6,040.13 is: 8,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.84 : 14,843.72 = 6,040.13 : x
  2. Step 2: Convert to fraction form
    10,755.84/14,843.72 = 6,040.13/x
  3. Step 3: Cross multiply
    10,755.84x = 14,843.72 × 6,040.13
  4. Step 4: Simplify right side
    10,755.84x = 89,657,939.37
  5. Step 5: Solve for x
    x = 89,657,939.37/10,755.84
  6. Step 6: Final answer
    x = 8,335.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.