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Finding the Fourth Proportional to 6,304.62, 8,698.95 and 3,786.06

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Solution

The fourth proportional to 6,304.62, 8,698.95 and 3,786.06 is: 5,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.62 : 8,698.95 = 3,786.06 : x
  2. Step 2: Convert to fraction form
    6,304.62/8,698.95 = 3,786.06/x
  3. Step 3: Cross multiply
    6,304.62x = 8,698.95 × 3,786.06
  4. Step 4: Simplify right side
    6,304.62x = 32,934,746.64
  5. Step 5: Solve for x
    x = 32,934,746.64/6,304.62
  6. Step 6: Final answer
    x = 5,223.91

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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.