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Finding the Fourth Proportional to 6,770.30, 9,347.05 and 4,254.54

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Solution

The fourth proportional to 6,770.30, 9,347.05 and 4,254.54 is: 5,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.30 : 9,347.05 = 4,254.54 : x
  2. Step 2: Convert to fraction form
    6,770.30/9,347.05 = 4,254.54/x
  3. Step 3: Cross multiply
    6,770.30x = 9,347.05 × 4,254.54
  4. Step 4: Simplify right side
    6,770.30x = 39,767,398.11
  5. Step 5: Solve for x
    x = 39,767,398.11/6,770.30
  6. Step 6: Final answer
    x = 5,873.80

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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.