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Finding the Fourth Proportional to 7,257.52, 10,886.40 and 3,801.52

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Solution

The fourth proportional to 7,257.52, 10,886.40 and 3,801.52 is: 5,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.52 : 10,886.40 = 3,801.52 : x
  2. Step 2: Convert to fraction form
    7,257.52/10,886.40 = 3,801.52/x
  3. Step 3: Cross multiply
    7,257.52x = 10,886.40 × 3,801.52
  4. Step 4: Simplify right side
    7,257.52x = 41,384,867.33
  5. Step 5: Solve for x
    x = 41,384,867.33/7,257.52
  6. Step 6: Final answer
    x = 5,702.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.