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Finding the Fourth Proportional to 7,801.68, 10,766.24 and 4,264.96

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Solution

The fourth proportional to 7,801.68, 10,766.24 and 4,264.96 is: 5,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.68 : 10,766.24 = 4,264.96 : x
  2. Step 2: Convert to fraction form
    7,801.68/10,766.24 = 4,264.96/x
  3. Step 3: Cross multiply
    7,801.68x = 10,766.24 × 4,264.96
  4. Step 4: Simplify right side
    7,801.68x = 45,917,582.95
  5. Step 5: Solve for x
    x = 45,917,582.95/7,801.68
  6. Step 6: Final answer
    x = 5,885.60

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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.