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Finding the Fourth Proportional to 6,457.84, 9,686.97 and 2,297.79

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Solution

The fourth proportional to 6,457.84, 9,686.97 and 2,297.79 is: 3,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.84 : 9,686.97 = 2,297.79 : x
  2. Step 2: Convert to fraction form
    6,457.84/9,686.97 = 2,297.79/x
  3. Step 3: Cross multiply
    6,457.84x = 9,686.97 × 2,297.79
  4. Step 4: Simplify right side
    6,457.84x = 22,258,622.80
  5. Step 5: Solve for x
    x = 22,258,622.80/6,457.84
  6. Step 6: Final answer
    x = 3,446.76

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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.