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Finding the Fourth Proportional to 9,794.58, 13,510.92 and 6,202.94

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Solution

The fourth proportional to 9,794.58, 13,510.92 and 6,202.94 is: 8,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.58 : 13,510.92 = 6,202.94 : x
  2. Step 2: Convert to fraction form
    9,794.58/13,510.92 = 6,202.94/x
  3. Step 3: Cross multiply
    9,794.58x = 13,510.92 × 6,202.94
  4. Step 4: Simplify right side
    9,794.58x = 83,807,426.10
  5. Step 5: Solve for x
    x = 83,807,426.10/9,794.58
  6. Step 6: Final answer
    x = 8,556.51

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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.