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Finding the Fourth Proportional to 8,192.69, 11,305.90 and 4,655.90

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Solution

The fourth proportional to 8,192.69, 11,305.90 and 4,655.90 is: 6,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.69 : 11,305.90 = 4,655.90 : x
  2. Step 2: Convert to fraction form
    8,192.69/11,305.90 = 4,655.90/x
  3. Step 3: Cross multiply
    8,192.69x = 11,305.90 × 4,655.90
  4. Step 4: Simplify right side
    8,192.69x = 52,639,139.81
  5. Step 5: Solve for x
    x = 52,639,139.81/8,192.69
  6. Step 6: Final answer
    x = 6,425.14

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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.