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Finding the Fourth Proportional to 10,322.44, 15,482.22 and 4,165

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Solution

The fourth proportional to 10,322.44, 15,482.22 and 4,165 is: 6,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.44 : 15,482.22 = 4,165 : x
  2. Step 2: Convert to fraction form
    10,322.44/15,482.22 = 4,165/x
  3. Step 3: Cross multiply
    10,322.44x = 15,482.22 × 4,165
  4. Step 4: Simplify right side
    10,322.44x = 64,483,446.30
  5. Step 5: Solve for x
    x = 64,483,446.30/10,322.44
  6. Step 6: Final answer
    x = 6,246.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.