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Finding the Fourth Proportional to 7,844.22, 10,825.05 and 4,307.34

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Solution

The fourth proportional to 7,844.22, 10,825.05 and 4,307.34 is: 5,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.22 : 10,825.05 = 4,307.34 : x
  2. Step 2: Convert to fraction form
    7,844.22/10,825.05 = 4,307.34/x
  3. Step 3: Cross multiply
    7,844.22x = 10,825.05 × 4,307.34
  4. Step 4: Simplify right side
    7,844.22x = 46,627,170.87
  5. Step 5: Solve for x
    x = 46,627,170.87/7,844.22
  6. Step 6: Final answer
    x = 5,944.14

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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.