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Finding the Fourth Proportional to 12,311.60, 18,467.40 and 7,111.40

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Solution

The fourth proportional to 12,311.60, 18,467.40 and 7,111.40 is: 10,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.60 : 18,467.40 = 7,111.40 : x
  2. Step 2: Convert to fraction form
    12,311.60/18,467.40 = 7,111.40/x
  3. Step 3: Cross multiply
    12,311.60x = 18,467.40 × 7,111.40
  4. Step 4: Simplify right side
    12,311.60x = 131,329,068.36
  5. Step 5: Solve for x
    x = 131,329,068.36/12,311.60
  6. Step 6: Final answer
    x = 10,667.10

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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.