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Finding the Fourth Proportional to 7,197, 9,931.89 and 4,053.24

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Solution

The fourth proportional to 7,197, 9,931.89 and 4,053.24 is: 5,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197 : 9,931.89 = 4,053.24 : x
  2. Step 2: Convert to fraction form
    7,197/9,931.89 = 4,053.24/x
  3. Step 3: Cross multiply
    7,197x = 9,931.89 × 4,053.24
  4. Step 4: Simplify right side
    7,197x = 40,256,333.82
  5. Step 5: Solve for x
    x = 40,256,333.82/7,197
  6. Step 6: Final answer
    x = 5,593.49

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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.