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Finding the Fourth Proportional to 9,649.46, 14,471.93 and 3,724.38

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Solution

The fourth proportional to 9,649.46, 14,471.93 and 3,724.38 is: 5,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.46 : 14,471.93 = 3,724.38 : x
  2. Step 2: Convert to fraction form
    9,649.46/14,471.93 = 3,724.38/x
  3. Step 3: Cross multiply
    9,649.46x = 14,471.93 × 3,724.38
  4. Step 4: Simplify right side
    9,649.46x = 53,898,975.96
  5. Step 5: Solve for x
    x = 53,898,975.96/9,649.46
  6. Step 6: Final answer
    x = 5,585.70

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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.