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Finding the Fourth Proportional to 7,161, 9,883.26 and 4,368.12

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Solution

The fourth proportional to 7,161, 9,883.26 and 4,368.12 is: 6,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161 : 9,883.26 = 4,368.12 : x
  2. Step 2: Convert to fraction form
    7,161/9,883.26 = 4,368.12/x
  3. Step 3: Cross multiply
    7,161x = 9,883.26 × 4,368.12
  4. Step 4: Simplify right side
    7,161x = 43,171,265.67
  5. Step 5: Solve for x
    x = 43,171,265.67/7,161
  6. Step 6: Final answer
    x = 6,028.66

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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.