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Finding the Fourth Proportional to 6,378.76, 9,564.42 and 2,914.12

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Solution

The fourth proportional to 6,378.76, 9,564.42 and 2,914.12 is: 4,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.76 : 9,564.42 = 2,914.12 : x
  2. Step 2: Convert to fraction form
    6,378.76/9,564.42 = 2,914.12/x
  3. Step 3: Cross multiply
    6,378.76x = 9,564.42 × 2,914.12
  4. Step 4: Simplify right side
    6,378.76x = 27,871,867.61
  5. Step 5: Solve for x
    x = 27,871,867.61/6,378.76
  6. Step 6: Final answer
    x = 4,369.48

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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.