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Finding the Fourth Proportional to 6,653.47, 9,976.73 and 1,972.84

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Solution

The fourth proportional to 6,653.47, 9,976.73 and 1,972.84 is: 2,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.47 : 9,976.73 = 1,972.84 : x
  2. Step 2: Convert to fraction form
    6,653.47/9,976.73 = 1,972.84/x
  3. Step 3: Cross multiply
    6,653.47x = 9,976.73 × 1,972.84
  4. Step 4: Simplify right side
    6,653.47x = 19,682,456.26
  5. Step 5: Solve for x
    x = 19,682,456.26/6,653.47
  6. Step 6: Final answer
    x = 2,958.22

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.