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Finding the Fourth Proportional to 9,645.56, 14,470.22 and 3,405.80

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Solution

The fourth proportional to 9,645.56, 14,470.22 and 3,405.80 is: 5,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.56 : 14,470.22 = 3,405.80 : x
  2. Step 2: Convert to fraction form
    9,645.56/14,470.22 = 3,405.80/x
  3. Step 3: Cross multiply
    9,645.56x = 14,470.22 × 3,405.80
  4. Step 4: Simplify right side
    9,645.56x = 49,282,675.28
  5. Step 5: Solve for x
    x = 49,282,675.28/9,645.56
  6. Step 6: Final answer
    x = 5,109.36

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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.