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Finding the Fourth Proportional to 6,906.40, 9,530.40 and 4,111.36

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Solution

The fourth proportional to 6,906.40, 9,530.40 and 4,111.36 is: 5,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.40 : 9,530.40 = 4,111.36 : x
  2. Step 2: Convert to fraction form
    6,906.40/9,530.40 = 4,111.36/x
  3. Step 3: Cross multiply
    6,906.40x = 9,530.40 × 4,111.36
  4. Step 4: Simplify right side
    6,906.40x = 39,182,905.34
  5. Step 5: Solve for x
    x = 39,182,905.34/6,906.40
  6. Step 6: Final answer
    x = 5,673.42

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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.