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Finding the Fourth Proportional to 7,059.56, 9,740.79 and 4,187.75

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Solution

The fourth proportional to 7,059.56, 9,740.79 and 4,187.75 is: 5,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.56 : 9,740.79 = 4,187.75 : x
  2. Step 2: Convert to fraction form
    7,059.56/9,740.79 = 4,187.75/x
  3. Step 3: Cross multiply
    7,059.56x = 9,740.79 × 4,187.75
  4. Step 4: Simplify right side
    7,059.56x = 40,791,972.38
  5. Step 5: Solve for x
    x = 40,791,972.38/7,059.56
  6. Step 6: Final answer
    x = 5,778.26

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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.