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Finding the Fourth Proportional to 5,770.66, 7,964.54 and 5,507.71

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Solution

The fourth proportional to 5,770.66, 7,964.54 and 5,507.71 is: 7,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.66 : 7,964.54 = 5,507.71 : x
  2. Step 2: Convert to fraction form
    5,770.66/7,964.54 = 5,507.71/x
  3. Step 3: Cross multiply
    5,770.66x = 7,964.54 × 5,507.71
  4. Step 4: Simplify right side
    5,770.66x = 43,866,376.60
  5. Step 5: Solve for x
    x = 43,866,376.60/5,770.66
  6. Step 6: Final answer
    x = 7,601.62

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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.