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Finding the Fourth Proportional to 6,909.59, 9,536.77 and 4,391.21

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Solution

The fourth proportional to 6,909.59, 9,536.77 and 4,391.21 is: 6,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.59 : 9,536.77 = 4,391.21 : x
  2. Step 2: Convert to fraction form
    6,909.59/9,536.77 = 4,391.21/x
  3. Step 3: Cross multiply
    6,909.59x = 9,536.77 × 4,391.21
  4. Step 4: Simplify right side
    6,909.59x = 41,877,901.13
  5. Step 5: Solve for x
    x = 41,877,901.13/6,909.59
  6. Step 6: Final answer
    x = 6,060.84

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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.