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Finding the Fourth Proportional to 6,524.91, 9,774.15 and 5,210.91

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Solution

The fourth proportional to 6,524.91, 9,774.15 and 5,210.91 is: 7,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.91 : 9,774.15 = 5,210.91 : x
  2. Step 2: Convert to fraction form
    6,524.91/9,774.15 = 5,210.91/x
  3. Step 3: Cross multiply
    6,524.91x = 9,774.15 × 5,210.91
  4. Step 4: Simplify right side
    6,524.91x = 50,932,215.98
  5. Step 5: Solve for x
    x = 50,932,215.98/6,524.91
  6. Step 6: Final answer
    x = 7,805.81

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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.