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Finding the Fourth Proportional to 14,984.19, 20,677.89 and 8,270.46

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Solution

The fourth proportional to 14,984.19, 20,677.89 and 8,270.46 is: 11,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.19 : 20,677.89 = 8,270.46 : x
  2. Step 2: Convert to fraction form
    14,984.19/20,677.89 = 8,270.46/x
  3. Step 3: Cross multiply
    14,984.19x = 20,677.89 × 8,270.46
  4. Step 4: Simplify right side
    14,984.19x = 171,015,662.13
  5. Step 5: Solve for x
    x = 171,015,662.13/14,984.19
  6. Step 6: Final answer
    x = 11,413.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.