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Finding the Fourth Proportional to 7,801.41, 10,765.42 and 4,264.63

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Solution

The fourth proportional to 7,801.41, 10,765.42 and 4,264.63 is: 5,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.41 : 10,765.42 = 4,264.63 : x
  2. Step 2: Convert to fraction form
    7,801.41/10,765.42 = 4,264.63/x
  3. Step 3: Cross multiply
    7,801.41x = 10,765.42 × 4,264.63
  4. Step 4: Simplify right side
    7,801.41x = 45,910,533.09
  5. Step 5: Solve for x
    x = 45,910,533.09/7,801.41
  6. Step 6: Final answer
    x = 5,884.90

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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.