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Finding the Fourth Proportional to 6,961.67, 9,594.53 and 5,070.25

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Solution

The fourth proportional to 6,961.67, 9,594.53 and 5,070.25 is: 6,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.67 : 9,594.53 = 5,070.25 : x
  2. Step 2: Convert to fraction form
    6,961.67/9,594.53 = 5,070.25/x
  3. Step 3: Cross multiply
    6,961.67x = 9,594.53 × 5,070.25
  4. Step 4: Simplify right side
    6,961.67x = 48,646,617.76
  5. Step 5: Solve for x
    x = 48,646,617.76/6,961.67
  6. Step 6: Final answer
    x = 6,987.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.