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Finding the Fourth Proportional to 7,189.52, 10,784.27 and 2,259.59

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Solution

The fourth proportional to 7,189.52, 10,784.27 and 2,259.59 is: 3,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.52 : 10,784.27 = 2,259.59 : x
  2. Step 2: Convert to fraction form
    7,189.52/10,784.27 = 2,259.59/x
  3. Step 3: Cross multiply
    7,189.52x = 10,784.27 × 2,259.59
  4. Step 4: Simplify right side
    7,189.52x = 24,367,980.38
  5. Step 5: Solve for x
    x = 24,367,980.38/7,189.52
  6. Step 6: Final answer
    x = 3,389.38

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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.