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Finding the Fourth Proportional to 5,943.36, 8,916 and 4,857.60

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Solution

The fourth proportional to 5,943.36, 8,916 and 4,857.60 is: 7,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.36 : 8,916 = 4,857.60 : x
  2. Step 2: Convert to fraction form
    5,943.36/8,916 = 4,857.60/x
  3. Step 3: Cross multiply
    5,943.36x = 8,916 × 4,857.60
  4. Step 4: Simplify right side
    5,943.36x = 43,310,361.60
  5. Step 5: Solve for x
    x = 43,310,361.60/5,943.36
  6. Step 6: Final answer
    x = 7,287.18

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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.