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Finding the Fourth Proportional to 6,288.36, 9,433.02 and 1,670.76

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Solution

The fourth proportional to 6,288.36, 9,433.02 and 1,670.76 is: 2,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.36 : 9,433.02 = 1,670.76 : x
  2. Step 2: Convert to fraction form
    6,288.36/9,433.02 = 1,670.76/x
  3. Step 3: Cross multiply
    6,288.36x = 9,433.02 × 1,670.76
  4. Step 4: Simplify right side
    6,288.36x = 15,760,312.50
  5. Step 5: Solve for x
    x = 15,760,312.50/6,288.36
  6. Step 6: Final answer
    x = 2,506.27

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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.