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Finding the Fourth Proportional to 7,189.77, 10,784.66 and 2,259.84

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Solution

The fourth proportional to 7,189.77, 10,784.66 and 2,259.84 is: 3,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.77 : 10,784.66 = 2,259.84 : x
  2. Step 2: Convert to fraction form
    7,189.77/10,784.66 = 2,259.84/x
  3. Step 3: Cross multiply
    7,189.77x = 10,784.66 × 2,259.84
  4. Step 4: Simplify right side
    7,189.77x = 24,371,606.05
  5. Step 5: Solve for x
    x = 24,371,606.05/7,189.77
  6. Step 6: Final answer
    x = 3,389.76

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Similar ratio
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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.