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Finding the Fourth Proportional to 18,866.16, 28,305.16 and 7,778.07

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Solution

The fourth proportional to 18,866.16, 28,305.16 and 7,778.07 is: 11,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,866.16 : 28,305.16 = 7,778.07 : x
  2. Step 2: Convert to fraction form
    18,866.16/28,305.16 = 7,778.07/x
  3. Step 3: Cross multiply
    18,866.16x = 28,305.16 × 7,778.07
  4. Step 4: Simplify right side
    18,866.16x = 220,159,460.54
  5. Step 5: Solve for x
    x = 220,159,460.54/18,866.16
  6. Step 6: Final answer
    x = 11,669.54

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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.