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Finding the Fourth Proportional to 6,505.74, 9,758.63 and 1,575.37

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Solution

The fourth proportional to 6,505.74, 9,758.63 and 1,575.37 is: 2,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.74 : 9,758.63 = 1,575.37 : x
  2. Step 2: Convert to fraction form
    6,505.74/9,758.63 = 1,575.37/x
  3. Step 3: Cross multiply
    6,505.74x = 9,758.63 × 1,575.37
  4. Step 4: Simplify right side
    6,505.74x = 15,373,452.94
  5. Step 5: Solve for x
    x = 15,373,452.94/6,505.74
  6. Step 6: Final answer
    x = 2,363.06

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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.