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Finding the Fourth Proportional to 6,902.65, 10,400.08 and 6,245.37

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Solution

The fourth proportional to 6,902.65, 10,400.08 and 6,245.37 is: 9,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.65 : 10,400.08 = 6,245.37 : x
  2. Step 2: Convert to fraction form
    6,902.65/10,400.08 = 6,245.37/x
  3. Step 3: Cross multiply
    6,902.65x = 10,400.08 × 6,245.37
  4. Step 4: Simplify right side
    6,902.65x = 64,952,264.40
  5. Step 5: Solve for x
    x = 64,952,264.40/6,902.65
  6. Step 6: Final answer
    x = 9,409.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.