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Finding the Fourth Proportional to 16,466.76, 24,682.44 and 7,111.20

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Solution

The fourth proportional to 16,466.76, 24,682.44 and 7,111.20 is: 10,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.76 : 24,682.44 = 7,111.20 : x
  2. Step 2: Convert to fraction form
    16,466.76/24,682.44 = 7,111.20/x
  3. Step 3: Cross multiply
    16,466.76x = 24,682.44 × 7,111.20
  4. Step 4: Simplify right side
    16,466.76x = 175,521,767.33
  5. Step 5: Solve for x
    x = 175,521,767.33/16,466.76
  6. Step 6: Final answer
    x = 10,659.16

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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.