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Finding the Fourth Proportional to 9,503.62, 14,249.30 and 5,124.22

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Solution

The fourth proportional to 9,503.62, 14,249.30 and 5,124.22 is: 7,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.62 : 14,249.30 = 5,124.22 : x
  2. Step 2: Convert to fraction form
    9,503.62/14,249.30 = 5,124.22/x
  3. Step 3: Cross multiply
    9,503.62x = 14,249.30 × 5,124.22
  4. Step 4: Simplify right side
    9,503.62x = 73,016,548.05
  5. Step 5: Solve for x
    x = 73,016,548.05/9,503.62
  6. Step 6: Final answer
    x = 7,683.02

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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.