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Finding the Fourth Proportional to 11,774, 16,248.92 and 6,468.87

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Solution

The fourth proportional to 11,774, 16,248.92 and 6,468.87 is: 8,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 16,248.92 = 6,468.87 : x
  2. Step 2: Convert to fraction form
    11,774/16,248.92 = 6,468.87/x
  3. Step 3: Cross multiply
    11,774x = 16,248.92 × 6,468.87
  4. Step 4: Simplify right side
    11,774x = 105,112,151.12
  5. Step 5: Solve for x
    x = 105,112,151.12/11,774
  6. Step 6: Final answer
    x = 8,927.48

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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.