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Finding the Fourth Proportional to 9,902.93, 13,658.63 and 5,921.37

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Solution

The fourth proportional to 9,902.93, 13,658.63 and 5,921.37 is: 8,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.93 : 13,658.63 = 5,921.37 : x
  2. Step 2: Convert to fraction form
    9,902.93/13,658.63 = 5,921.37/x
  3. Step 3: Cross multiply
    9,902.93x = 13,658.63 × 5,921.37
  4. Step 4: Simplify right side
    9,902.93x = 80,877,772.32
  5. Step 5: Solve for x
    x = 80,877,772.32/9,902.93
  6. Step 6: Final answer
    x = 8,167.06

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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.