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Finding the Fourth Proportional to 11,788.16, 16,267.02 and 6,482.12

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Solution

The fourth proportional to 11,788.16, 16,267.02 and 6,482.12 is: 8,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.16 : 16,267.02 = 6,482.12 : x
  2. Step 2: Convert to fraction form
    11,788.16/16,267.02 = 6,482.12/x
  3. Step 3: Cross multiply
    11,788.16x = 16,267.02 × 6,482.12
  4. Step 4: Simplify right side
    11,788.16x = 105,444,775.68
  5. Step 5: Solve for x
    x = 105,444,775.68/11,788.16
  6. Step 6: Final answer
    x = 8,944.97

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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.