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Finding the Fourth Proportional to 16,484.10, 22,747.92 and 9,410.50

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Solution

The fourth proportional to 16,484.10, 22,747.92 and 9,410.50 is: 12,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.10 : 22,747.92 = 9,410.50 : x
  2. Step 2: Convert to fraction form
    16,484.10/22,747.92 = 9,410.50/x
  3. Step 3: Cross multiply
    16,484.10x = 22,747.92 × 9,410.50
  4. Step 4: Simplify right side
    16,484.10x = 214,069,301.16
  5. Step 5: Solve for x
    x = 214,069,301.16/16,484.10
  6. Step 6: Final answer
    x = 12,986.41

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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.