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Finding the Fourth Proportional to 6,914.72, 9,546.93 and 5,318.52

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Solution

The fourth proportional to 6,914.72, 9,546.93 and 5,318.52 is: 7,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.72 : 9,546.93 = 5,318.52 : x
  2. Step 2: Convert to fraction form
    6,914.72/9,546.93 = 5,318.52/x
  3. Step 3: Cross multiply
    6,914.72x = 9,546.93 × 5,318.52
  4. Step 4: Simplify right side
    6,914.72x = 50,775,538.14
  5. Step 5: Solve for x
    x = 50,775,538.14/6,914.72
  6. Step 6: Final answer
    x = 7,343.11

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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.