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Finding the Fourth Proportional to 7,755.84, 10,705.50 and 5,236.20

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Solution

The fourth proportional to 7,755.84, 10,705.50 and 5,236.20 is: 7,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.84 : 10,705.50 = 5,236.20 : x
  2. Step 2: Convert to fraction form
    7,755.84/10,705.50 = 5,236.20/x
  3. Step 3: Cross multiply
    7,755.84x = 10,705.50 × 5,236.20
  4. Step 4: Simplify right side
    7,755.84x = 56,056,139.10
  5. Step 5: Solve for x
    x = 56,056,139.10/7,755.84
  6. Step 6: Final answer
    x = 7,227.60

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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.