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Finding the Fourth Proportional to 9,574.92, 14,363.37 and 2,649.42

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Solution

The fourth proportional to 9,574.92, 14,363.37 and 2,649.42 is: 3,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.92 : 14,363.37 = 2,649.42 : x
  2. Step 2: Convert to fraction form
    9,574.92/14,363.37 = 2,649.42/x
  3. Step 3: Cross multiply
    9,574.92x = 14,363.37 × 2,649.42
  4. Step 4: Simplify right side
    9,574.92x = 38,054,599.75
  5. Step 5: Solve for x
    x = 38,054,599.75/9,574.92
  6. Step 6: Final answer
    x = 3,974.40

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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.