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Finding the Fourth Proportional to 6,524.66, 9,782.74 and 4,296.76

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Solution

The fourth proportional to 6,524.66, 9,782.74 and 4,296.76 is: 6,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.66 : 9,782.74 = 4,296.76 : x
  2. Step 2: Convert to fraction form
    6,524.66/9,782.74 = 4,296.76/x
  3. Step 3: Cross multiply
    6,524.66x = 9,782.74 × 4,296.76
  4. Step 4: Simplify right side
    6,524.66x = 42,034,085.92
  5. Step 5: Solve for x
    x = 42,034,085.92/6,524.66
  6. Step 6: Final answer
    x = 6,442.34

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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.