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Finding the Fourth Proportional to 9,225.93, 13,814.22 and 4,834.17

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Solution

The fourth proportional to 9,225.93, 13,814.22 and 4,834.17 is: 7,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.93 : 13,814.22 = 4,834.17 : x
  2. Step 2: Convert to fraction form
    9,225.93/13,814.22 = 4,834.17/x
  3. Step 3: Cross multiply
    9,225.93x = 13,814.22 × 4,834.17
  4. Step 4: Simplify right side
    9,225.93x = 66,780,287.90
  5. Step 5: Solve for x
    x = 66,780,287.90/9,225.93
  6. Step 6: Final answer
    x = 7,238.33

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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.