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Finding the Fourth Proportional to 10,046.94, 15,070.29 and 4,849.14

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Solution

The fourth proportional to 10,046.94, 15,070.29 and 4,849.14 is: 7,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.94 : 15,070.29 = 4,849.14 : x
  2. Step 2: Convert to fraction form
    10,046.94/15,070.29 = 4,849.14/x
  3. Step 3: Cross multiply
    10,046.94x = 15,070.29 × 4,849.14
  4. Step 4: Simplify right side
    10,046.94x = 73,077,946.05
  5. Step 5: Solve for x
    x = 73,077,946.05/10,046.94
  6. Step 6: Final answer
    x = 7,273.65

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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.