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Finding the Fourth Proportional to 7,175.25, 9,903.06 and 5,296.59

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Solution

The fourth proportional to 7,175.25, 9,903.06 and 5,296.59 is: 7,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.25 : 9,903.06 = 5,296.59 : x
  2. Step 2: Convert to fraction form
    7,175.25/9,903.06 = 5,296.59/x
  3. Step 3: Cross multiply
    7,175.25x = 9,903.06 × 5,296.59
  4. Step 4: Simplify right side
    7,175.25x = 52,452,448.57
  5. Step 5: Solve for x
    x = 52,452,448.57/7,175.25
  6. Step 6: Final answer
    x = 7,310.19

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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.