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Finding the Fourth Proportional to 9,296.63, 13,944.98 and 6,535.66

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Solution

The fourth proportional to 9,296.63, 13,944.98 and 6,535.66 is: 9,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.63 : 13,944.98 = 6,535.66 : x
  2. Step 2: Convert to fraction form
    9,296.63/13,944.98 = 6,535.66/x
  3. Step 3: Cross multiply
    9,296.63x = 13,944.98 × 6,535.66
  4. Step 4: Simplify right side
    9,296.63x = 91,139,647.99
  5. Step 5: Solve for x
    x = 91,139,647.99/9,296.63
  6. Step 6: Final answer
    x = 9,803.51

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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.