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Finding the Fourth Proportional to 6,274.80, 9,412.20 and 3,164.40

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Solution

The fourth proportional to 6,274.80, 9,412.20 and 3,164.40 is: 4,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.80 : 9,412.20 = 3,164.40 : x
  2. Step 2: Convert to fraction form
    6,274.80/9,412.20 = 3,164.40/x
  3. Step 3: Cross multiply
    6,274.80x = 9,412.20 × 3,164.40
  4. Step 4: Simplify right side
    6,274.80x = 29,783,965.68
  5. Step 5: Solve for x
    x = 29,783,965.68/6,274.80
  6. Step 6: Final answer
    x = 4,746.60

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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.