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Finding the Fourth Proportional to 12,201.70, 18,302.55 and 7,827.70

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Solution

The fourth proportional to 12,201.70, 18,302.55 and 7,827.70 is: 11,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.70 : 18,302.55 = 7,827.70 : x
  2. Step 2: Convert to fraction form
    12,201.70/18,302.55 = 7,827.70/x
  3. Step 3: Cross multiply
    12,201.70x = 18,302.55 × 7,827.70
  4. Step 4: Simplify right side
    12,201.70x = 143,266,870.64
  5. Step 5: Solve for x
    x = 143,266,870.64/12,201.70
  6. Step 6: Final answer
    x = 11,741.55

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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.