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Finding the Fourth Proportional to 16,647.64, 24,943.03 and 9,157.47

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Solution

The fourth proportional to 16,647.64, 24,943.03 and 9,157.47 is: 13,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.64 : 24,943.03 = 9,157.47 : x
  2. Step 2: Convert to fraction form
    16,647.64/24,943.03 = 9,157.47/x
  3. Step 3: Cross multiply
    16,647.64x = 24,943.03 × 9,157.47
  4. Step 4: Simplify right side
    16,647.64x = 228,415,048.93
  5. Step 5: Solve for x
    x = 228,415,048.93/16,647.64
  6. Step 6: Final answer
    x = 13,720.57

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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.