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Finding the Fourth Proportional to 12,083.60, 18,125.40 and 7,855.40

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Solution

The fourth proportional to 12,083.60, 18,125.40 and 7,855.40 is: 11,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.60 : 18,125.40 = 7,855.40 : x
  2. Step 2: Convert to fraction form
    12,083.60/18,125.40 = 7,855.40/x
  3. Step 3: Cross multiply
    12,083.60x = 18,125.40 × 7,855.40
  4. Step 4: Simplify right side
    12,083.60x = 142,382,267.16
  5. Step 5: Solve for x
    x = 142,382,267.16/12,083.60
  6. Step 6: Final answer
    x = 11,783.10

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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.