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Finding the Fourth Proportional to 6,647.08, 9,970.70 and 2,264.20

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Solution

The fourth proportional to 6,647.08, 9,970.70 and 2,264.20 is: 3,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.08 : 9,970.70 = 2,264.20 : x
  2. Step 2: Convert to fraction form
    6,647.08/9,970.70 = 2,264.20/x
  3. Step 3: Cross multiply
    6,647.08x = 9,970.70 × 2,264.20
  4. Step 4: Simplify right side
    6,647.08x = 22,575,658.94
  5. Step 5: Solve for x
    x = 22,575,658.94/6,647.08
  6. Step 6: Final answer
    x = 3,396.33

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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.