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Finding the Fourth Proportional to 9,562.07, 14,343.11 and 3,406.07

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Solution

The fourth proportional to 9,562.07, 14,343.11 and 3,406.07 is: 5,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.07 : 14,343.11 = 3,406.07 : x
  2. Step 2: Convert to fraction form
    9,562.07/14,343.11 = 3,406.07/x
  3. Step 3: Cross multiply
    9,562.07x = 14,343.11 × 3,406.07
  4. Step 4: Simplify right side
    9,562.07x = 48,853,619.65
  5. Step 5: Solve for x
    x = 48,853,619.65/9,562.07
  6. Step 6: Final answer
    x = 5,109.11

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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.