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Finding the Fourth Proportional to 10,857.81, 14,982.73 and 6,077.51

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Solution

The fourth proportional to 10,857.81, 14,982.73 and 6,077.51 is: 8,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.81 : 14,982.73 = 6,077.51 : x
  2. Step 2: Convert to fraction form
    10,857.81/14,982.73 = 6,077.51/x
  3. Step 3: Cross multiply
    10,857.81x = 14,982.73 × 6,077.51
  4. Step 4: Simplify right side
    10,857.81x = 91,057,691.40
  5. Step 5: Solve for x
    x = 91,057,691.40/10,857.81
  6. Step 6: Final answer
    x = 8,386.38

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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.