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Finding the Fourth Proportional to 6,509.53, 9,764.30 and 1,579.13

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Solution

The fourth proportional to 6,509.53, 9,764.30 and 1,579.13 is: 2,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.53 : 9,764.30 = 1,579.13 : x
  2. Step 2: Convert to fraction form
    6,509.53/9,764.30 = 1,579.13/x
  3. Step 3: Cross multiply
    6,509.53x = 9,764.30 × 1,579.13
  4. Step 4: Simplify right side
    6,509.53x = 15,419,099.06
  5. Step 5: Solve for x
    x = 15,419,099.06/6,509.53
  6. Step 6: Final answer
    x = 2,368.70

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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.