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Finding the Fourth Proportional to 6,513.68, 9,774.84 and 3,001.52

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Solution

The fourth proportional to 6,513.68, 9,774.84 and 3,001.52 is: 4,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.68 : 9,774.84 = 3,001.52 : x
  2. Step 2: Convert to fraction form
    6,513.68/9,774.84 = 3,001.52/x
  3. Step 3: Cross multiply
    6,513.68x = 9,774.84 × 3,001.52
  4. Step 4: Simplify right side
    6,513.68x = 29,339,377.76
  5. Step 5: Solve for x
    x = 29,339,377.76/6,513.68
  6. Step 6: Final answer
    x = 4,504.27

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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.