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Finding the Fourth Proportional to 10,268.64, 15,402.96 and 6,156

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Solution

The fourth proportional to 10,268.64, 15,402.96 and 6,156 is: 9,234

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.64 : 15,402.96 = 6,156 : x
  2. Step 2: Convert to fraction form
    10,268.64/15,402.96 = 6,156/x
  3. Step 3: Cross multiply
    10,268.64x = 15,402.96 × 6,156
  4. Step 4: Simplify right side
    10,268.64x = 94,820,621.76
  5. Step 5: Solve for x
    x = 94,820,621.76/10,268.64
  6. Step 6: Final answer
    x = 9,234

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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.