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Finding the Fourth Proportional to 9,935.31, 13,705.02 and 6,202.83

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Solution

The fourth proportional to 9,935.31, 13,705.02 and 6,202.83 is: 8,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.31 : 13,705.02 = 6,202.83 : x
  2. Step 2: Convert to fraction form
    9,935.31/13,705.02 = 6,202.83/x
  3. Step 3: Cross multiply
    9,935.31x = 13,705.02 × 6,202.83
  4. Step 4: Simplify right side
    9,935.31x = 85,009,900.96
  5. Step 5: Solve for x
    x = 85,009,900.96/9,935.31
  6. Step 6: Final answer
    x = 8,556.34

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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.