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Finding the Fourth Proportional to 8,542.39, 11,771.00 and 6,300.71

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Solution

The fourth proportional to 8,542.39, 11,771.00 and 6,300.71 is: 8,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.39 : 11,771.00 = 6,300.71 : x
  2. Step 2: Convert to fraction form
    8,542.39/11,771.00 = 6,300.71/x
  3. Step 3: Cross multiply
    8,542.39x = 11,771.00 × 6,300.71
  4. Step 4: Simplify right side
    8,542.39x = 74,165,678.96
  5. Step 5: Solve for x
    x = 74,165,678.96/8,542.39
  6. Step 6: Final answer
    x = 8,682.08

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Half scale
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Double scale
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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.