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Finding the Fourth Proportional to 8,196.76, 11,311.14 and 4,659.58

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Solution

The fourth proportional to 8,196.76, 11,311.14 and 4,659.58 is: 6,430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.76 : 11,311.14 = 4,659.58 : x
  2. Step 2: Convert to fraction form
    8,196.76/11,311.14 = 4,659.58/x
  3. Step 3: Cross multiply
    8,196.76x = 11,311.14 × 4,659.58
  4. Step 4: Simplify right side
    8,196.76x = 52,705,161.72
  5. Step 5: Solve for x
    x = 52,705,161.72/8,196.76
  6. Step 6: Final answer
    x = 6,430.00

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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.