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Finding the Fourth Proportional to 8,363.69, 11,542.01 and 4,587.20

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Solution

The fourth proportional to 8,363.69, 11,542.01 and 4,587.20 is: 6,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.69 : 11,542.01 = 4,587.20 : x
  2. Step 2: Convert to fraction form
    8,363.69/11,542.01 = 4,587.20/x
  3. Step 3: Cross multiply
    8,363.69x = 11,542.01 × 4,587.20
  4. Step 4: Simplify right side
    8,363.69x = 52,945,427.63
  5. Step 5: Solve for x
    x = 52,945,427.63/8,363.69
  6. Step 6: Final answer
    x = 6,330.39

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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.