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Finding the Fourth Proportional to 6,922.80, 10,384.20 and 4,460.40

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Solution

The fourth proportional to 6,922.80, 10,384.20 and 4,460.40 is: 6,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.80 : 10,384.20 = 4,460.40 : x
  2. Step 2: Convert to fraction form
    6,922.80/10,384.20 = 4,460.40/x
  3. Step 3: Cross multiply
    6,922.80x = 10,384.20 × 4,460.40
  4. Step 4: Simplify right side
    6,922.80x = 46,317,685.68
  5. Step 5: Solve for x
    x = 46,317,685.68/6,922.80
  6. Step 6: Final answer
    x = 6,690.60

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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.