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Finding the Fourth Proportional to 5,968.48, 8,942.64 and 3,655.12

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Solution

The fourth proportional to 5,968.48, 8,942.64 and 3,655.12 is: 5,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.48 : 8,942.64 = 3,655.12 : x
  2. Step 2: Convert to fraction form
    5,968.48/8,942.64 = 3,655.12/x
  3. Step 3: Cross multiply
    5,968.48x = 8,942.64 × 3,655.12
  4. Step 4: Simplify right side
    5,968.48x = 32,686,422.32
  5. Step 5: Solve for x
    x = 32,686,422.32/5,968.48
  6. Step 6: Final answer
    x = 5,476.51

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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.