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Finding the Fourth Proportional to 6,784.74, 9,363.47 and 3,801.58

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Solution

The fourth proportional to 6,784.74, 9,363.47 and 3,801.58 is: 5,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.74 : 9,363.47 = 3,801.58 : x
  2. Step 2: Convert to fraction form
    6,784.74/9,363.47 = 3,801.58/x
  3. Step 3: Cross multiply
    6,784.74x = 9,363.47 × 3,801.58
  4. Step 4: Simplify right side
    6,784.74x = 35,595,937.87
  5. Step 5: Solve for x
    x = 35,595,937.87/6,784.74
  6. Step 6: Final answer
    x = 5,246.47

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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.