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Finding the Fourth Proportional to 9,989.33, 14,958.34 and 9,693.68

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Solution

The fourth proportional to 9,989.33, 14,958.34 and 9,693.68 is: 14,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.33 : 14,958.34 = 9,693.68 : x
  2. Step 2: Convert to fraction form
    9,989.33/14,958.34 = 9,693.68/x
  3. Step 3: Cross multiply
    9,989.33x = 14,958.34 × 9,693.68
  4. Step 4: Simplify right side
    9,989.33x = 145,001,262.27
  5. Step 5: Solve for x
    x = 145,001,262.27/9,989.33
  6. Step 6: Final answer
    x = 14,515.62

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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.