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Finding the Fourth Proportional to 7,057.26, 9,738.23 and 4,367.25

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Solution

The fourth proportional to 7,057.26, 9,738.23 and 4,367.25 is: 6,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.26 : 9,738.23 = 4,367.25 : x
  2. Step 2: Convert to fraction form
    7,057.26/9,738.23 = 4,367.25/x
  3. Step 3: Cross multiply
    7,057.26x = 9,738.23 × 4,367.25
  4. Step 4: Simplify right side
    7,057.26x = 42,529,263.13
  5. Step 5: Solve for x
    x = 42,529,263.13/7,057.26
  6. Step 6: Final answer
    x = 6,026.31

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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.