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Finding the Fourth Proportional to 9,889.56, 14,830.92 and 3,648.24

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Solution

The fourth proportional to 9,889.56, 14,830.92 and 3,648.24 is: 5,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.56 : 14,830.92 = 3,648.24 : x
  2. Step 2: Convert to fraction form
    9,889.56/14,830.92 = 3,648.24/x
  3. Step 3: Cross multiply
    9,889.56x = 14,830.92 × 3,648.24
  4. Step 4: Simplify right side
    9,889.56x = 54,106,755.58
  5. Step 5: Solve for x
    x = 54,106,755.58/9,889.56
  6. Step 6: Final answer
    x = 5,471.10

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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.