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Finding the Fourth Proportional to 5,107.93, 7,661.74 and 1,410.38

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Solution

The fourth proportional to 5,107.93, 7,661.74 and 1,410.38 is: 2,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.93 : 7,661.74 = 1,410.38 : x
  2. Step 2: Convert to fraction form
    5,107.93/7,661.74 = 1,410.38/x
  3. Step 3: Cross multiply
    5,107.93x = 7,661.74 × 1,410.38
  4. Step 4: Simplify right side
    5,107.93x = 10,805,957.81
  5. Step 5: Solve for x
    x = 10,805,957.81/5,107.93
  6. Step 6: Final answer
    x = 2,115.53

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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.