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Finding the Fourth Proportional to 9,898.86, 13,659.96 and 5,922.14

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Solution

The fourth proportional to 9,898.86, 13,659.96 and 5,922.14 is: 8,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.86 : 13,659.96 = 5,922.14 : x
  2. Step 2: Convert to fraction form
    9,898.86/13,659.96 = 5,922.14/x
  3. Step 3: Cross multiply
    9,898.86x = 13,659.96 × 5,922.14
  4. Step 4: Simplify right side
    9,898.86x = 80,896,195.51
  5. Step 5: Solve for x
    x = 80,896,195.51/9,898.86
  6. Step 6: Final answer
    x = 8,172.27

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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.