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Finding the Fourth Proportional to 10,755.84, 14,841.19 and 5,975.02

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Solution

The fourth proportional to 10,755.84, 14,841.19 and 5,975.02 is: 8,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.84 : 14,841.19 = 5,975.02 : x
  2. Step 2: Convert to fraction form
    10,755.84/14,841.19 = 5,975.02/x
  3. Step 3: Cross multiply
    10,755.84x = 14,841.19 × 5,975.02
  4. Step 4: Simplify right side
    10,755.84x = 88,676,407.07
  5. Step 5: Solve for x
    x = 88,676,407.07/10,755.84
  6. Step 6: Final answer
    x = 8,244.49

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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.