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Finding the Fourth Proportional to 6,930.67, 9,564.47 and 3,787.06

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Solution

The fourth proportional to 6,930.67, 9,564.47 and 3,787.06 is: 5,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.67 : 9,564.47 = 3,787.06 : x
  2. Step 2: Convert to fraction form
    6,930.67/9,564.47 = 3,787.06/x
  3. Step 3: Cross multiply
    6,930.67x = 9,564.47 × 3,787.06
  4. Step 4: Simplify right side
    6,930.67x = 36,221,202.82
  5. Step 5: Solve for x
    x = 36,221,202.82/6,930.67
  6. Step 6: Final answer
    x = 5,226.22

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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.