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Finding the Fourth Proportional to 11,466.77, 15,826.96 and 6,992.99

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Solution

The fourth proportional to 11,466.77, 15,826.96 and 6,992.99 is: 9,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.77 : 15,826.96 = 6,992.99 : x
  2. Step 2: Convert to fraction form
    11,466.77/15,826.96 = 6,992.99/x
  3. Step 3: Cross multiply
    11,466.77x = 15,826.96 × 6,992.99
  4. Step 4: Simplify right side
    11,466.77x = 110,677,773.01
  5. Step 5: Solve for x
    x = 110,677,773.01/11,466.77
  6. Step 6: Final answer
    x = 9,652.04

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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.