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Finding the Fourth Proportional to 6,902.48, 10,296.14 and 6,238.08

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Solution

The fourth proportional to 6,902.48, 10,296.14 and 6,238.08 is: 9,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.48 : 10,296.14 = 6,238.08 : x
  2. Step 2: Convert to fraction form
    6,902.48/10,296.14 = 6,238.08/x
  3. Step 3: Cross multiply
    6,902.48x = 10,296.14 × 6,238.08
  4. Step 4: Simplify right side
    6,902.48x = 64,228,145.01
  5. Step 5: Solve for x
    x = 64,228,145.01/6,902.48
  6. Step 6: Final answer
    x = 9,305.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.