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Finding the Fourth Proportional to 6,493.14, 9,733.86 and 2,332.17

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Solution

The fourth proportional to 6,493.14, 9,733.86 and 2,332.17 is: 3,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.14 : 9,733.86 = 2,332.17 : x
  2. Step 2: Convert to fraction form
    6,493.14/9,733.86 = 2,332.17/x
  3. Step 3: Cross multiply
    6,493.14x = 9,733.86 × 2,332.17
  4. Step 4: Simplify right side
    6,493.14x = 22,700,955.95
  5. Step 5: Solve for x
    x = 22,700,955.95/6,493.14
  6. Step 6: Final answer
    x = 3,496.15

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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.