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Finding the Fourth Proportional to 4,770.68, 6,582.12 and 2,674.76

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Solution

The fourth proportional to 4,770.68, 6,582.12 and 2,674.76 is: 3,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.68 : 6,582.12 = 2,674.76 : x
  2. Step 2: Convert to fraction form
    4,770.68/6,582.12 = 2,674.76/x
  3. Step 3: Cross multiply
    4,770.68x = 6,582.12 × 2,674.76
  4. Step 4: Simplify right side
    4,770.68x = 17,605,591.29
  5. Step 5: Solve for x
    x = 17,605,591.29/4,770.68
  6. Step 6: Final answer
    x = 3,690.37

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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.