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Finding the Fourth Proportional to 6,300.71, 9,452.47 and 1,918.51

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Solution

The fourth proportional to 6,300.71, 9,452.47 and 1,918.51 is: 2,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.71 : 9,452.47 = 1,918.51 : x
  2. Step 2: Convert to fraction form
    6,300.71/9,452.47 = 1,918.51/x
  3. Step 3: Cross multiply
    6,300.71x = 9,452.47 × 1,918.51
  4. Step 4: Simplify right side
    6,300.71x = 18,134,629.79
  5. Step 5: Solve for x
    x = 18,134,629.79/6,300.71
  6. Step 6: Final answer
    x = 2,878.19

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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.