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Finding the Fourth Proportional to 6,347.16, 9,520.34 and 1,964.25

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Solution

The fourth proportional to 6,347.16, 9,520.34 and 1,964.25 is: 2,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.16 : 9,520.34 = 1,964.25 : x
  2. Step 2: Convert to fraction form
    6,347.16/9,520.34 = 1,964.25/x
  3. Step 3: Cross multiply
    6,347.16x = 9,520.34 × 1,964.25
  4. Step 4: Simplify right side
    6,347.16x = 18,700,318.02
  5. Step 5: Solve for x
    x = 18,700,318.02/6,347.16
  6. Step 6: Final answer
    x = 2,946.25

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Similar ratio
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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.