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Finding the Fourth Proportional to 6,846.46, 10,278.19 and 6,814.87

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Solution

The fourth proportional to 6,846.46, 10,278.19 and 6,814.87 is: 10,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.46 : 10,278.19 = 6,814.87 : x
  2. Step 2: Convert to fraction form
    6,846.46/10,278.19 = 6,814.87/x
  3. Step 3: Cross multiply
    6,846.46x = 10,278.19 × 6,814.87
  4. Step 4: Simplify right side
    6,846.46x = 70,044,511.51
  5. Step 5: Solve for x
    x = 70,044,511.51/6,846.46
  6. Step 6: Final answer
    x = 10,230.77

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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.