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Finding the Fourth Proportional to 6,466.44, 8,923.14 and 3,671.40

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Solution

The fourth proportional to 6,466.44, 8,923.14 and 3,671.40 is: 5,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.44 : 8,923.14 = 3,671.40 : x
  2. Step 2: Convert to fraction form
    6,466.44/8,923.14 = 3,671.40/x
  3. Step 3: Cross multiply
    6,466.44x = 8,923.14 × 3,671.40
  4. Step 4: Simplify right side
    6,466.44x = 32,760,416.20
  5. Step 5: Solve for x
    x = 32,760,416.20/6,466.44
  6. Step 6: Final answer
    x = 5,066.22

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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.