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Finding the Fourth Proportional to 9,766.28, 14,629.98 and 6,293

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Solution

The fourth proportional to 9,766.28, 14,629.98 and 6,293 is: 9,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.28 : 14,629.98 = 6,293 : x
  2. Step 2: Convert to fraction form
    9,766.28/14,629.98 = 6,293/x
  3. Step 3: Cross multiply
    9,766.28x = 14,629.98 × 6,293
  4. Step 4: Simplify right side
    9,766.28x = 92,066,464.14
  5. Step 5: Solve for x
    x = 92,066,464.14/9,766.28
  6. Step 6: Final answer
    x = 9,426.97

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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.