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Finding the Fourth Proportional to 10,448.38, 15,648.18 and 9,073

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Solution

The fourth proportional to 10,448.38, 15,648.18 and 9,073 is: 13,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.38 : 15,648.18 = 9,073 : x
  2. Step 2: Convert to fraction form
    10,448.38/15,648.18 = 9,073/x
  3. Step 3: Cross multiply
    10,448.38x = 15,648.18 × 9,073
  4. Step 4: Simplify right side
    10,448.38x = 141,975,937.14
  5. Step 5: Solve for x
    x = 141,975,937.14/10,448.38
  6. Step 6: Final answer
    x = 13,588.32

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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.