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Finding the Fourth Proportional to 6,266.90, 8,648.34 and 3,434.22

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Solution

The fourth proportional to 6,266.90, 8,648.34 and 3,434.22 is: 4,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.90 : 8,648.34 = 3,434.22 : x
  2. Step 2: Convert to fraction form
    6,266.90/8,648.34 = 3,434.22/x
  3. Step 3: Cross multiply
    6,266.90x = 8,648.34 × 3,434.22
  4. Step 4: Simplify right side
    6,266.90x = 29,700,302.19
  5. Step 5: Solve for x
    x = 29,700,302.19/6,266.90
  6. Step 6: Final answer
    x = 4,739.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.