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Finding the Fourth Proportional to 11,482.13, 15,845.34 and 6,514.13

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Solution

The fourth proportional to 11,482.13, 15,845.34 and 6,514.13 is: 8,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.13 : 15,845.34 = 6,514.13 : x
  2. Step 2: Convert to fraction form
    11,482.13/15,845.34 = 6,514.13/x
  3. Step 3: Cross multiply
    11,482.13x = 15,845.34 × 6,514.13
  4. Step 4: Simplify right side
    11,482.13x = 103,218,525.43
  5. Step 5: Solve for x
    x = 103,218,525.43/11,482.13
  6. Step 6: Final answer
    x = 8,989.50

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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.