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Finding the Fourth Proportional to 6,551.93, 9,827.99 and 3,648.69

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Solution

The fourth proportional to 6,551.93, 9,827.99 and 3,648.69 is: 5,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.93 : 9,827.99 = 3,648.69 : x
  2. Step 2: Convert to fraction form
    6,551.93/9,827.99 = 3,648.69/x
  3. Step 3: Cross multiply
    6,551.93x = 9,827.99 × 3,648.69
  4. Step 4: Simplify right side
    6,551.93x = 35,859,270.59
  5. Step 5: Solve for x
    x = 35,859,270.59/6,551.93
  6. Step 6: Final answer
    x = 5,473.09

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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.