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Finding the Fourth Proportional to 6,514.59, 9,773.10 and 2,130.87

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Solution

The fourth proportional to 6,514.59, 9,773.10 and 2,130.87 is: 3,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.59 : 9,773.10 = 2,130.87 : x
  2. Step 2: Convert to fraction form
    6,514.59/9,773.10 = 2,130.87/x
  3. Step 3: Cross multiply
    6,514.59x = 9,773.10 × 2,130.87
  4. Step 4: Simplify right side
    6,514.59x = 20,825,205.60
  5. Step 5: Solve for x
    x = 20,825,205.60/6,514.59
  6. Step 6: Final answer
    x = 3,196.70

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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.