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Finding the Fourth Proportional to 6,968.88, 9,617.64 and 4,175.28

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Solution

The fourth proportional to 6,968.88, 9,617.64 and 4,175.28 is: 5,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.88 : 9,617.64 = 4,175.28 : x
  2. Step 2: Convert to fraction form
    6,968.88/9,617.64 = 4,175.28/x
  3. Step 3: Cross multiply
    6,968.88x = 9,617.64 × 4,175.28
  4. Step 4: Simplify right side
    6,968.88x = 40,156,339.94
  5. Step 5: Solve for x
    x = 40,156,339.94/6,968.88
  6. Step 6: Final answer
    x = 5,762.24

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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.