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Finding the Fourth Proportional to 6,264.50, 9,397.02 and 1,647.50

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Solution

The fourth proportional to 6,264.50, 9,397.02 and 1,647.50 is: 2,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.50 : 9,397.02 = 1,647.50 : x
  2. Step 2: Convert to fraction form
    6,264.50/9,397.02 = 1,647.50/x
  3. Step 3: Cross multiply
    6,264.50x = 9,397.02 × 1,647.50
  4. Step 4: Simplify right side
    6,264.50x = 15,481,590.45
  5. Step 5: Solve for x
    x = 15,481,590.45/6,264.50
  6. Step 6: Final answer
    x = 2,471.32

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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.