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Finding the Fourth Proportional to 6,774.76, 9,342.30 and 4,119.58

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Solution

The fourth proportional to 6,774.76, 9,342.30 and 4,119.58 is: 5,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.76 : 9,342.30 = 4,119.58 : x
  2. Step 2: Convert to fraction form
    6,774.76/9,342.30 = 4,119.58/x
  3. Step 3: Cross multiply
    6,774.76x = 9,342.30 × 4,119.58
  4. Step 4: Simplify right side
    6,774.76x = 38,486,352.23
  5. Step 5: Solve for x
    x = 38,486,352.23/6,774.76
  6. Step 6: Final answer
    x = 5,680.84

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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.