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Finding the Fourth Proportional to 8,002.70, 12,004.05 and 7,657.10

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Solution

The fourth proportional to 8,002.70, 12,004.05 and 7,657.10 is: 11,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.70 : 12,004.05 = 7,657.10 : x
  2. Step 2: Convert to fraction form
    8,002.70/12,004.05 = 7,657.10/x
  3. Step 3: Cross multiply
    8,002.70x = 12,004.05 × 7,657.10
  4. Step 4: Simplify right side
    8,002.70x = 91,916,211.26
  5. Step 5: Solve for x
    x = 91,916,211.26/8,002.70
  6. Step 6: Final answer
    x = 11,485.65

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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.