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Finding the Fourth Proportional to 6,526.56, 9,782.56 and 2,823.24

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Solution

The fourth proportional to 6,526.56, 9,782.56 and 2,823.24 is: 4,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.56 : 9,782.56 = 2,823.24 : x
  2. Step 2: Convert to fraction form
    6,526.56/9,782.56 = 2,823.24/x
  3. Step 3: Cross multiply
    6,526.56x = 9,782.56 × 2,823.24
  4. Step 4: Simplify right side
    6,526.56x = 27,618,514.69
  5. Step 5: Solve for x
    x = 27,618,514.69/6,526.56
  6. Step 6: Final answer
    x = 4,231.71

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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.