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Finding the Fourth Proportional to 6,574.32, 9,842.34 and 3,446.91

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Solution

The fourth proportional to 6,574.32, 9,842.34 and 3,446.91 is: 5,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.32 : 9,842.34 = 3,446.91 : x
  2. Step 2: Convert to fraction form
    6,574.32/9,842.34 = 3,446.91/x
  3. Step 3: Cross multiply
    6,574.32x = 9,842.34 × 3,446.91
  4. Step 4: Simplify right side
    6,574.32x = 33,925,660.17
  5. Step 5: Solve for x
    x = 33,925,660.17/6,574.32
  6. Step 6: Final answer
    x = 5,160.33

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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.