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Finding the Fourth Proportional to 12,307.60, 18,461.40 and 4,099.60

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Solution

The fourth proportional to 12,307.60, 18,461.40 and 4,099.60 is: 6,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.60 : 18,461.40 = 4,099.60 : x
  2. Step 2: Convert to fraction form
    12,307.60/18,461.40 = 4,099.60/x
  3. Step 3: Cross multiply
    12,307.60x = 18,461.40 × 4,099.60
  4. Step 4: Simplify right side
    12,307.60x = 75,684,355.44
  5. Step 5: Solve for x
    x = 75,684,355.44/12,307.60
  6. Step 6: Final answer
    x = 6,149.40

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Half 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.