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Finding the Fourth Proportional to 6,467.69, 9,701.74 and 1,788.05

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Solution

The fourth proportional to 6,467.69, 9,701.74 and 1,788.05 is: 2,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.69 : 9,701.74 = 1,788.05 : x
  2. Step 2: Convert to fraction form
    6,467.69/9,701.74 = 1,788.05/x
  3. Step 3: Cross multiply
    6,467.69x = 9,701.74 × 1,788.05
  4. Step 4: Simplify right side
    6,467.69x = 17,347,196.21
  5. Step 5: Solve for x
    x = 17,347,196.21/6,467.69
  6. Step 6: Final answer
    x = 2,682.13

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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.