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Finding the Fourth Proportional to 6,155.64, 9,233.16 and 2,259.80

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Solution

The fourth proportional to 6,155.64, 9,233.16 and 2,259.80 is: 3,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.64 : 9,233.16 = 2,259.80 : x
  2. Step 2: Convert to fraction form
    6,155.64/9,233.16 = 2,259.80/x
  3. Step 3: Cross multiply
    6,155.64x = 9,233.16 × 2,259.80
  4. Step 4: Simplify right side
    6,155.64x = 20,865,094.97
  5. Step 5: Solve for x
    x = 20,865,094.97/6,155.64
  6. Step 6: Final answer
    x = 3,389.59

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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.