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Finding the Fourth Proportional to 6,098.71, 8,416.73 and 3,446.63

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Solution

The fourth proportional to 6,098.71, 8,416.73 and 3,446.63 is: 4,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.71 : 8,416.73 = 3,446.63 : x
  2. Step 2: Convert to fraction form
    6,098.71/8,416.73 = 3,446.63/x
  3. Step 3: Cross multiply
    6,098.71x = 8,416.73 × 3,446.63
  4. Step 4: Simplify right side
    6,098.71x = 29,009,354.12
  5. Step 5: Solve for x
    x = 29,009,354.12/6,098.71
  6. Step 6: Final answer
    x = 4,756.64

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Half 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.