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Finding the Fourth Proportional to 6,834.86, 9,436.41 and 4,709.70

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Solution

The fourth proportional to 6,834.86, 9,436.41 and 4,709.70 is: 6,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.86 : 9,436.41 = 4,709.70 : x
  2. Step 2: Convert to fraction form
    6,834.86/9,436.41 = 4,709.70/x
  3. Step 3: Cross multiply
    6,834.86x = 9,436.41 × 4,709.70
  4. Step 4: Simplify right side
    6,834.86x = 44,442,660.18
  5. Step 5: Solve for x
    x = 44,442,660.18/6,834.86
  6. Step 6: Final answer
    x = 6,502.36

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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.