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Finding the Fourth Proportional to 6,941.26, 10,417.02 and 5,097.16

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Solution

The fourth proportional to 6,941.26, 10,417.02 and 5,097.16 is: 7,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.26 : 10,417.02 = 5,097.16 : x
  2. Step 2: Convert to fraction form
    6,941.26/10,417.02 = 5,097.16/x
  3. Step 3: Cross multiply
    6,941.26x = 10,417.02 × 5,097.16
  4. Step 4: Simplify right side
    6,941.26x = 53,097,217.66
  5. Step 5: Solve for x
    x = 53,097,217.66/6,941.26
  6. Step 6: Final answer
    x = 7,649.51

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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.