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Finding the Fourth Proportional to 4,827.22, 6,661.24 and 2,702.38

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Solution

The fourth proportional to 4,827.22, 6,661.24 and 2,702.38 is: 3,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.22 : 6,661.24 = 2,702.38 : x
  2. Step 2: Convert to fraction form
    4,827.22/6,661.24 = 2,702.38/x
  3. Step 3: Cross multiply
    4,827.22x = 6,661.24 × 2,702.38
  4. Step 4: Simplify right side
    4,827.22x = 18,001,201.75
  5. Step 5: Solve for x
    x = 18,001,201.75/4,827.22
  6. Step 6: Final answer
    x = 3,729.10

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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.