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Finding the Fourth Proportional to 9,602.97, 13,251.57 and 5,410.95

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Solution

The fourth proportional to 9,602.97, 13,251.57 and 5,410.95 is: 7,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.97 : 13,251.57 = 5,410.95 : x
  2. Step 2: Convert to fraction form
    9,602.97/13,251.57 = 5,410.95/x
  3. Step 3: Cross multiply
    9,602.97x = 13,251.57 × 5,410.95
  4. Step 4: Simplify right side
    9,602.97x = 71,703,582.69
  5. Step 5: Solve for x
    x = 71,703,582.69/9,602.97
  6. Step 6: Final answer
    x = 7,466.81

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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.