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Finding the Fourth Proportional to 9,772.82, 14,657.81 and 3,199.26

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Solution

The fourth proportional to 9,772.82, 14,657.81 and 3,199.26 is: 4,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.82 : 14,657.81 = 3,199.26 : x
  2. Step 2: Convert to fraction form
    9,772.82/14,657.81 = 3,199.26/x
  3. Step 3: Cross multiply
    9,772.82x = 14,657.81 × 3,199.26
  4. Step 4: Simplify right side
    9,772.82x = 46,894,129.22
  5. Step 5: Solve for x
    x = 46,894,129.22/9,772.82
  6. Step 6: Final answer
    x = 4,798.43

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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.