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Finding the Fourth Proportional to 9,536.24, 13,160 and 5,344.48

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Solution

The fourth proportional to 9,536.24, 13,160 and 5,344.48 is: 7,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.24 : 13,160 = 5,344.48 : x
  2. Step 2: Convert to fraction form
    9,536.24/13,160 = 5,344.48/x
  3. Step 3: Cross multiply
    9,536.24x = 13,160 × 5,344.48
  4. Step 4: Simplify right side
    9,536.24x = 70,333,356.80
  5. Step 5: Solve for x
    x = 70,333,356.80/9,536.24
  6. Step 6: Final answer
    x = 7,375.38

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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.