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Finding the Fourth Proportional to 6,087.16, 9,130.58 and 1,983.16

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Solution

The fourth proportional to 6,087.16, 9,130.58 and 1,983.16 is: 2,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.16 : 9,130.58 = 1,983.16 : x
  2. Step 2: Convert to fraction form
    6,087.16/9,130.58 = 1,983.16/x
  3. Step 3: Cross multiply
    6,087.16x = 9,130.58 × 1,983.16
  4. Step 4: Simplify right side
    6,087.16x = 18,107,401.03
  5. Step 5: Solve for x
    x = 18,107,401.03/6,087.16
  6. Step 6: Final answer
    x = 2,974.69

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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.