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Finding the Fourth Proportional to 9,650.88, 14,464.80 and 3,804.48

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Solution

The fourth proportional to 9,650.88, 14,464.80 and 3,804.48 is: 5,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.88 : 14,464.80 = 3,804.48 : x
  2. Step 2: Convert to fraction form
    9,650.88/14,464.80 = 3,804.48/x
  3. Step 3: Cross multiply
    9,650.88x = 14,464.80 × 3,804.48
  4. Step 4: Simplify right side
    9,650.88x = 55,031,042.30
  5. Step 5: Solve for x
    x = 55,031,042.30/9,650.88
  6. Step 6: Final answer
    x = 5,702.18

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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.