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Finding the Fourth Proportional to 10,843.14, 16,264.71 and 3,051.93

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Solution

The fourth proportional to 10,843.14, 16,264.71 and 3,051.93 is: 4,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.14 : 16,264.71 = 3,051.93 : x
  2. Step 2: Convert to fraction form
    10,843.14/16,264.71 = 3,051.93/x
  3. Step 3: Cross multiply
    10,843.14x = 16,264.71 × 3,051.93
  4. Step 4: Simplify right side
    10,843.14x = 49,638,756.39
  5. Step 5: Solve for x
    x = 49,638,756.39/10,843.14
  6. Step 6: Final answer
    x = 4,577.90

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1.5x scale

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.