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Finding the Fourth Proportional to 12,187.40, 18,243.98 and 7,807.90

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Solution

The fourth proportional to 12,187.40, 18,243.98 and 7,807.90 is: 11,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.40 : 18,243.98 = 7,807.90 : x
  2. Step 2: Convert to fraction form
    12,187.40/18,243.98 = 7,807.90/x
  3. Step 3: Cross multiply
    12,187.40x = 18,243.98 × 7,807.90
  4. Step 4: Simplify right side
    12,187.40x = 142,447,171.44
  5. Step 5: Solve for x
    x = 142,447,171.44/12,187.40
  6. Step 6: Final answer
    x = 11,688.07

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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.