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Finding the Fourth Proportional to 9,491.16, 14,233.06 and 3,941.65

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Solution

The fourth proportional to 9,491.16, 14,233.06 and 3,941.65 is: 5,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.16 : 14,233.06 = 3,941.65 : x
  2. Step 2: Convert to fraction form
    9,491.16/14,233.06 = 3,941.65/x
  3. Step 3: Cross multiply
    9,491.16x = 14,233.06 × 3,941.65
  4. Step 4: Simplify right side
    9,491.16x = 56,101,740.95
  5. Step 5: Solve for x
    x = 56,101,740.95/9,491.16
  6. Step 6: Final answer
    x = 5,910.95

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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.