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Finding the Fourth Proportional to 8,295.14, 11,461.86 and 6,630.28

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Solution

The fourth proportional to 8,295.14, 11,461.86 and 6,630.28 is: 9,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.14 : 11,461.86 = 6,630.28 : x
  2. Step 2: Convert to fraction form
    8,295.14/11,461.86 = 6,630.28/x
  3. Step 3: Cross multiply
    8,295.14x = 11,461.86 × 6,630.28
  4. Step 4: Simplify right side
    8,295.14x = 75,995,341.12
  5. Step 5: Solve for x
    x = 75,995,341.12/8,295.14
  6. Step 6: Final answer
    x = 9,161.43

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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.