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Finding the Fourth Proportional to 6,907.62, 9,538.14 and 5,631.71

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Solution

The fourth proportional to 6,907.62, 9,538.14 and 5,631.71 is: 7,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.62 : 9,538.14 = 5,631.71 : x
  2. Step 2: Convert to fraction form
    6,907.62/9,538.14 = 5,631.71/x
  3. Step 3: Cross multiply
    6,907.62x = 9,538.14 × 5,631.71
  4. Step 4: Simplify right side
    6,907.62x = 53,715,990.73
  5. Step 5: Solve for x
    x = 53,715,990.73/6,907.62
  6. Step 6: Final answer
    x = 7,776.34

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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.