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Finding the Fourth Proportional to 6,968.63, 9,617.93 and 4,174.13

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Solution

The fourth proportional to 6,968.63, 9,617.93 and 4,174.13 is: 5,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.63 : 9,617.93 = 4,174.13 : x
  2. Step 2: Convert to fraction form
    6,968.63/9,617.93 = 4,174.13/x
  3. Step 3: Cross multiply
    6,968.63x = 9,617.93 × 4,174.13
  4. Step 4: Simplify right side
    6,968.63x = 40,146,421.19
  5. Step 5: Solve for x
    x = 40,146,421.19/6,968.63
  6. Step 6: Final answer
    x = 5,761.02

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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.