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Finding the Fourth Proportional to 11,774.58, 16,248.30 and 6,738.24

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Solution

The fourth proportional to 11,774.58, 16,248.30 and 6,738.24 is: 9,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.58 : 16,248.30 = 6,738.24 : x
  2. Step 2: Convert to fraction form
    11,774.58/16,248.30 = 6,738.24/x
  3. Step 3: Cross multiply
    11,774.58x = 16,248.30 × 6,738.24
  4. Step 4: Simplify right side
    11,774.58x = 109,484,944.99
  5. Step 5: Solve for x
    x = 109,484,944.99/11,774.58
  6. Step 6: Final answer
    x = 9,298.42

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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.