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Finding the Fourth Proportional to 6,906.10, 10,346.95 and 6,677.70

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Solution

The fourth proportional to 6,906.10, 10,346.95 and 6,677.70 is: 10,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.10 : 10,346.95 = 6,677.70 : x
  2. Step 2: Convert to fraction form
    6,906.10/10,346.95 = 6,677.70/x
  3. Step 3: Cross multiply
    6,906.10x = 10,346.95 × 6,677.70
  4. Step 4: Simplify right side
    6,906.10x = 69,093,828.02
  5. Step 5: Solve for x
    x = 69,093,828.02/6,906.10
  6. Step 6: Final answer
    x = 10,004.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.