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Finding the Fourth Proportional to 8,192.72, 12,294.12 and 3,574.64

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Solution

The fourth proportional to 8,192.72, 12,294.12 and 3,574.64 is: 5,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.72 : 12,294.12 = 3,574.64 : x
  2. Step 2: Convert to fraction form
    8,192.72/12,294.12 = 3,574.64/x
  3. Step 3: Cross multiply
    8,192.72x = 12,294.12 × 3,574.64
  4. Step 4: Simplify right side
    8,192.72x = 43,947,053.12
  5. Step 5: Solve for x
    x = 43,947,053.12/8,192.72
  6. Step 6: Final answer
    x = 5,364.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.