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Finding the Fourth Proportional to 6,846.84, 9,446.10 and 4,013.76

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Solution

The fourth proportional to 6,846.84, 9,446.10 and 4,013.76 is: 5,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.84 : 9,446.10 = 4,013.76 : x
  2. Step 2: Convert to fraction form
    6,846.84/9,446.10 = 4,013.76/x
  3. Step 3: Cross multiply
    6,846.84x = 9,446.10 × 4,013.76
  4. Step 4: Simplify right side
    6,846.84x = 37,914,378.34
  5. Step 5: Solve for x
    x = 37,914,378.34/6,846.84
  6. Step 6: Final answer
    x = 5,537.50

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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.