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Finding the Fourth Proportional to 7,801.60, 10,765.88 and 4,264.86

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Solution

The fourth proportional to 7,801.60, 10,765.88 and 4,264.86 is: 5,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.60 : 10,765.88 = 4,264.86 : x
  2. Step 2: Convert to fraction form
    7,801.60/10,765.88 = 4,264.86/x
  3. Step 3: Cross multiply
    7,801.60x = 10,765.88 × 4,264.86
  4. Step 4: Simplify right side
    7,801.60x = 45,914,970.98
  5. Step 5: Solve for x
    x = 45,914,970.98/7,801.60
  6. Step 6: Final answer
    x = 5,885.33

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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.