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Finding the Fourth Proportional to 8,113.76, 12,170.64 and 1,957.76

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Solution

The fourth proportional to 8,113.76, 12,170.64 and 1,957.76 is: 2,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.76 : 12,170.64 = 1,957.76 : x
  2. Step 2: Convert to fraction form
    8,113.76/12,170.64 = 1,957.76/x
  3. Step 3: Cross multiply
    8,113.76x = 12,170.64 × 1,957.76
  4. Step 4: Simplify right side
    8,113.76x = 23,827,192.17
  5. Step 5: Solve for x
    x = 23,827,192.17/8,113.76
  6. Step 6: Final answer
    x = 2,936.64

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.