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Finding the Fourth Proportional to 6,834.66, 9,437.01 and 6,725.71

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Solution

The fourth proportional to 6,834.66, 9,437.01 and 6,725.71 is: 9,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.66 : 9,437.01 = 6,725.71 : x
  2. Step 2: Convert to fraction form
    6,834.66/9,437.01 = 6,725.71/x
  3. Step 3: Cross multiply
    6,834.66x = 9,437.01 × 6,725.71
  4. Step 4: Simplify right side
    6,834.66x = 63,470,592.53
  5. Step 5: Solve for x
    x = 63,470,592.53/6,834.66
  6. Step 6: Final answer
    x = 9,286.58

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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.