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Finding the Fourth Proportional to 8,471.34, 11,690.10 and 4,694.22

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Solution

The fourth proportional to 8,471.34, 11,690.10 and 4,694.22 is: 6,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.34 : 11,690.10 = 4,694.22 : x
  2. Step 2: Convert to fraction form
    8,471.34/11,690.10 = 4,694.22/x
  3. Step 3: Cross multiply
    8,471.34x = 11,690.10 × 4,694.22
  4. Step 4: Simplify right side
    8,471.34x = 54,875,901.22
  5. Step 5: Solve for x
    x = 54,875,901.22/8,471.34
  6. Step 6: Final answer
    x = 6,477.83

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Double scale
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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.