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Finding the Fourth Proportional to 6,304.33, 9,455.41 and 1,686.25

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Solution

The fourth proportional to 6,304.33, 9,455.41 and 1,686.25 is: 2,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.33 : 9,455.41 = 1,686.25 : x
  2. Step 2: Convert to fraction form
    6,304.33/9,455.41 = 1,686.25/x
  3. Step 3: Cross multiply
    6,304.33x = 9,455.41 × 1,686.25
  4. Step 4: Simplify right side
    6,304.33x = 15,944,185.11
  5. Step 5: Solve for x
    x = 15,944,185.11/6,304.33
  6. Step 6: Final answer
    x = 2,529.08

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Half scale
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Double scale
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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.