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Finding the Fourth Proportional to 6,506.12, 9,753.03 and 5,909.48

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Solution

The fourth proportional to 6,506.12, 9,753.03 and 5,909.48 is: 8,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.12 : 9,753.03 = 5,909.48 : x
  2. Step 2: Convert to fraction form
    6,506.12/9,753.03 = 5,909.48/x
  3. Step 3: Cross multiply
    6,506.12x = 9,753.03 × 5,909.48
  4. Step 4: Simplify right side
    6,506.12x = 57,635,367.58
  5. Step 5: Solve for x
    x = 57,635,367.58/6,506.12
  6. Step 6: Final answer
    x = 8,858.64

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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.