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Finding the Fourth Proportional to 7,844, 10,824.48 and 4,307.12

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Solution

The fourth proportional to 7,844, 10,824.48 and 4,307.12 is: 5,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844 : 10,824.48 = 4,307.12 : x
  2. Step 2: Convert to fraction form
    7,844/10,824.48 = 4,307.12/x
  3. Step 3: Cross multiply
    7,844x = 10,824.48 × 4,307.12
  4. Step 4: Simplify right side
    7,844x = 46,622,334.30
  5. Step 5: Solve for x
    x = 46,622,334.30/7,844
  6. Step 6: Final answer
    x = 5,943.69

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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.