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Finding the Fourth Proportional to 4,770.74, 6,583.28 and 2,646.38

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Solution

The fourth proportional to 4,770.74, 6,583.28 and 2,646.38 is: 3,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.74 : 6,583.28 = 2,646.38 : x
  2. Step 2: Convert to fraction form
    4,770.74/6,583.28 = 2,646.38/x
  3. Step 3: Cross multiply
    4,770.74x = 6,583.28 × 2,646.38
  4. Step 4: Simplify right side
    4,770.74x = 17,421,860.53
  5. Step 5: Solve for x
    x = 17,421,860.53/4,770.74
  6. Step 6: Final answer
    x = 3,651.82

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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.