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Finding the Fourth Proportional to 7,770.70, 10,722.92 and 4,367.53

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Solution

The fourth proportional to 7,770.70, 10,722.92 and 4,367.53 is: 6,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.70 : 10,722.92 = 4,367.53 : x
  2. Step 2: Convert to fraction form
    7,770.70/10,722.92 = 4,367.53/x
  3. Step 3: Cross multiply
    7,770.70x = 10,722.92 × 4,367.53
  4. Step 4: Simplify right side
    7,770.70x = 46,832,599.34
  5. Step 5: Solve for x
    x = 46,832,599.34/7,770.70
  6. Step 6: Final answer
    x = 6,026.82

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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.