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Finding the Fourth Proportional to 6,646.30, 9,971.12 and 2,263.80

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Solution

The fourth proportional to 6,646.30, 9,971.12 and 2,263.80 is: 3,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.30 : 9,971.12 = 2,263.80 : x
  2. Step 2: Convert to fraction form
    6,646.30/9,971.12 = 2,263.80/x
  3. Step 3: Cross multiply
    6,646.30x = 9,971.12 × 2,263.80
  4. Step 4: Simplify right side
    6,646.30x = 22,572,621.46
  5. Step 5: Solve for x
    x = 22,572,621.46/6,646.30
  6. Step 6: Final answer
    x = 3,396.27

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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.