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Finding the Fourth Proportional to 6,509.40, 9,764.10 and 4,954.20

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Solution

The fourth proportional to 6,509.40, 9,764.10 and 4,954.20 is: 7,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.40 : 9,764.10 = 4,954.20 : x
  2. Step 2: Convert to fraction form
    6,509.40/9,764.10 = 4,954.20/x
  3. Step 3: Cross multiply
    6,509.40x = 9,764.10 × 4,954.20
  4. Step 4: Simplify right side
    6,509.40x = 48,373,304.22
  5. Step 5: Solve for x
    x = 48,373,304.22/6,509.40
  6. Step 6: Final answer
    x = 7,431.30

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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.