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Finding the Fourth Proportional to 5,706.74, 8,561.70 and 1,959.32

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Solution

The fourth proportional to 5,706.74, 8,561.70 and 1,959.32 is: 2,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.74 : 8,561.70 = 1,959.32 : x
  2. Step 2: Convert to fraction form
    5,706.74/8,561.70 = 1,959.32/x
  3. Step 3: Cross multiply
    5,706.74x = 8,561.70 × 1,959.32
  4. Step 4: Simplify right side
    5,706.74x = 16,775,110.04
  5. Step 5: Solve for x
    x = 16,775,110.04/5,706.74
  6. Step 6: Final answer
    x = 2,939.53

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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.