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Finding the Fourth Proportional to 7,209.80, 10,817.40 and 2,830.40

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Solution

The fourth proportional to 7,209.80, 10,817.40 and 2,830.40 is: 4,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.80 : 10,817.40 = 2,830.40 : x
  2. Step 2: Convert to fraction form
    7,209.80/10,817.40 = 2,830.40/x
  3. Step 3: Cross multiply
    7,209.80x = 10,817.40 × 2,830.40
  4. Step 4: Simplify right side
    7,209.80x = 30,617,568.96
  5. Step 5: Solve for x
    x = 30,617,568.96/7,209.80
  6. Step 6: Final answer
    x = 4,246.66

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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.