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Finding the Fourth Proportional to 10,097.22, 13,934.94 and 5,622.12

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Solution

The fourth proportional to 10,097.22, 13,934.94 and 5,622.12 is: 7,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.22 : 13,934.94 = 5,622.12 : x
  2. Step 2: Convert to fraction form
    10,097.22/13,934.94 = 5,622.12/x
  3. Step 3: Cross multiply
    10,097.22x = 13,934.94 × 5,622.12
  4. Step 4: Simplify right side
    10,097.22x = 78,343,904.87
  5. Step 5: Solve for x
    x = 78,343,904.87/10,097.22
  6. Step 6: Final answer
    x = 7,758.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.