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Finding the Fourth Proportional to 10,362.96, 15,532.74 and 9,532.44

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Solution

The fourth proportional to 10,362.96, 15,532.74 and 9,532.44 is: 14,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.96 : 15,532.74 = 9,532.44 : x
  2. Step 2: Convert to fraction form
    10,362.96/15,532.74 = 9,532.44/x
  3. Step 3: Cross multiply
    10,362.96x = 15,532.74 × 9,532.44
  4. Step 4: Simplify right side
    10,362.96x = 148,064,912.09
  5. Step 5: Solve for x
    x = 148,064,912.09/10,362.96
  6. Step 6: Final answer
    x = 14,287.90

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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.