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Finding the Fourth Proportional to 8,102.46, 11,173.95 and 5,113.11

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Solution

The fourth proportional to 8,102.46, 11,173.95 and 5,113.11 is: 7,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.46 : 11,173.95 = 5,113.11 : x
  2. Step 2: Convert to fraction form
    8,102.46/11,173.95 = 5,113.11/x
  3. Step 3: Cross multiply
    8,102.46x = 11,173.95 × 5,113.11
  4. Step 4: Simplify right side
    8,102.46x = 57,133,635.48
  5. Step 5: Solve for x
    x = 57,133,635.48/8,102.46
  6. Step 6: Final answer
    x = 7,051.39

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Half scale
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Double scale
Find fourth proportional to 8,103.46, 11,175.33 and 5,114.11
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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.