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Finding the Fourth Proportional to 6,821.52, 10,218.04 and 6,586.52

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Solution

The fourth proportional to 6,821.52, 10,218.04 and 6,586.52 is: 9,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.52 : 10,218.04 = 6,586.52 : x
  2. Step 2: Convert to fraction form
    6,821.52/10,218.04 = 6,586.52/x
  3. Step 3: Cross multiply
    6,821.52x = 10,218.04 × 6,586.52
  4. Step 4: Simplify right side
    6,821.52x = 67,301,324.82
  5. Step 5: Solve for x
    x = 67,301,324.82/6,821.52
  6. Step 6: Final answer
    x = 9,866.03

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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.