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Finding the Fourth Proportional to 9,460.87, 14,182.09 and 8,649.05

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Solution

The fourth proportional to 9,460.87, 14,182.09 and 8,649.05 is: 12,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.87 : 14,182.09 = 8,649.05 : x
  2. Step 2: Convert to fraction form
    9,460.87/14,182.09 = 8,649.05/x
  3. Step 3: Cross multiply
    9,460.87x = 14,182.09 × 8,649.05
  4. Step 4: Simplify right side
    9,460.87x = 122,661,512.98
  5. Step 5: Solve for x
    x = 122,661,512.98/9,460.87
  6. Step 6: Final answer
    x = 12,965.14

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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.