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Finding the Fourth Proportional to 10,000.27, 13,800.28 and 5,524.32

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Solution

The fourth proportional to 10,000.27, 13,800.28 and 5,524.32 is: 7,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.27 : 13,800.28 = 5,524.32 : x
  2. Step 2: Convert to fraction form
    10,000.27/13,800.28 = 5,524.32/x
  3. Step 3: Cross multiply
    10,000.27x = 13,800.28 × 5,524.32
  4. Step 4: Simplify right side
    10,000.27x = 76,237,162.81
  5. Step 5: Solve for x
    x = 76,237,162.81/10,000.27
  6. Step 6: Final answer
    x = 7,623.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.