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Finding the Fourth Proportional to 9,902.86, 13,664.50 and 5,923.13

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Solution

The fourth proportional to 9,902.86, 13,664.50 and 5,923.13 is: 8,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.86 : 13,664.50 = 5,923.13 : x
  2. Step 2: Convert to fraction form
    9,902.86/13,664.50 = 5,923.13/x
  3. Step 3: Cross multiply
    9,902.86x = 13,664.50 × 5,923.13
  4. Step 4: Simplify right side
    9,902.86x = 80,936,526.75
  5. Step 5: Solve for x
    x = 80,936,526.75/9,902.86
  6. Step 6: Final answer
    x = 8,173.05

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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.