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Finding the Fourth Proportional to 6,305.67, 9,464.64 and 4,657.20

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Solution

The fourth proportional to 6,305.67, 9,464.64 and 4,657.20 is: 6,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.67 : 9,464.64 = 4,657.20 : x
  2. Step 2: Convert to fraction form
    6,305.67/9,464.64 = 4,657.20/x
  3. Step 3: Cross multiply
    6,305.67x = 9,464.64 × 4,657.20
  4. Step 4: Simplify right side
    6,305.67x = 44,078,721.41
  5. Step 5: Solve for x
    x = 44,078,721.41/6,305.67
  6. Step 6: Final answer
    x = 6,990.33

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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.