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Finding the Fourth Proportional to 6,514.05, 9,770.93 and 1,583.71

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Solution

The fourth proportional to 6,514.05, 9,770.93 and 1,583.71 is: 2,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.05 : 9,770.93 = 1,583.71 : x
  2. Step 2: Convert to fraction form
    6,514.05/9,770.93 = 1,583.71/x
  3. Step 3: Cross multiply
    6,514.05x = 9,770.93 × 1,583.71
  4. Step 4: Simplify right side
    6,514.05x = 15,474,323.51
  5. Step 5: Solve for x
    x = 15,474,323.51/6,514.05
  6. Step 6: Final answer
    x = 2,375.53

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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.