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Finding the Fourth Proportional to 15,494.38, 21,382.08 and 8,420.82

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Solution

The fourth proportional to 15,494.38, 21,382.08 and 8,420.82 is: 11,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.38 : 21,382.08 = 8,420.82 : x
  2. Step 2: Convert to fraction form
    15,494.38/21,382.08 = 8,420.82/x
  3. Step 3: Cross multiply
    15,494.38x = 21,382.08 × 8,420.82
  4. Step 4: Simplify right side
    15,494.38x = 180,054,646.91
  5. Step 5: Solve for x
    x = 180,054,646.91/15,494.38
  6. Step 6: Final answer
    x = 11,620.64

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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.