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Finding the Fourth Proportional to 7,755.52, 10,702.56 and 4,218.74

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Solution

The fourth proportional to 7,755.52, 10,702.56 and 4,218.74 is: 5,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.52 : 10,702.56 = 4,218.74 : x
  2. Step 2: Convert to fraction form
    7,755.52/10,702.56 = 4,218.74/x
  3. Step 3: Cross multiply
    7,755.52x = 10,702.56 × 4,218.74
  4. Step 4: Simplify right side
    7,755.52x = 45,151,243.37
  5. Step 5: Solve for x
    x = 45,151,243.37/7,755.52
  6. Step 6: Final answer
    x = 5,821.82

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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.