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Finding the Fourth Proportional to 7,209.84, 10,817.90 and 2,533.20

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Solution

The fourth proportional to 7,209.84, 10,817.90 and 2,533.20 is: 3,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.84 : 10,817.90 = 2,533.20 : x
  2. Step 2: Convert to fraction form
    7,209.84/10,817.90 = 2,533.20/x
  3. Step 3: Cross multiply
    7,209.84x = 10,817.90 × 2,533.20
  4. Step 4: Simplify right side
    7,209.84x = 27,403,904.28
  5. Step 5: Solve for x
    x = 27,403,904.28/7,209.84
  6. Step 6: Final answer
    x = 3,800.90

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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.