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Finding the Fourth Proportional to 9,562.65, 14,343.90 and 5,664.25

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Solution

The fourth proportional to 9,562.65, 14,343.90 and 5,664.25 is: 8,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.65 : 14,343.90 = 5,664.25 : x
  2. Step 2: Convert to fraction form
    9,562.65/14,343.90 = 5,664.25/x
  3. Step 3: Cross multiply
    9,562.65x = 14,343.90 × 5,664.25
  4. Step 4: Simplify right side
    9,562.65x = 81,247,435.58
  5. Step 5: Solve for x
    x = 81,247,435.58/9,562.65
  6. Step 6: Final answer
    x = 8,496.33

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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.