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Finding the Fourth Proportional to 6,310.47, 9,467.06 and 1,928.25

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Solution

The fourth proportional to 6,310.47, 9,467.06 and 1,928.25 is: 2,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.47 : 9,467.06 = 1,928.25 : x
  2. Step 2: Convert to fraction form
    6,310.47/9,467.06 = 1,928.25/x
  3. Step 3: Cross multiply
    6,310.47x = 9,467.06 × 1,928.25
  4. Step 4: Simplify right side
    6,310.47x = 18,254,848.80
  5. Step 5: Solve for x
    x = 18,254,848.80/6,310.47
  6. Step 6: Final answer
    x = 2,892.79

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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.