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Finding the Fourth Proportional to 11,518.82, 15,894.74 and 6,482.96

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Solution

The fourth proportional to 11,518.82, 15,894.74 and 6,482.96 is: 8,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.82 : 15,894.74 = 6,482.96 : x
  2. Step 2: Convert to fraction form
    11,518.82/15,894.74 = 6,482.96/x
  3. Step 3: Cross multiply
    11,518.82x = 15,894.74 × 6,482.96
  4. Step 4: Simplify right side
    11,518.82x = 103,044,884.16
  5. Step 5: Solve for x
    x = 103,044,884.16/11,518.82
  6. Step 6: Final answer
    x = 8,945.78

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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.