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Finding the Fourth Proportional to 7,853.03, 11,764.15 and 4,559.21

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Solution

The fourth proportional to 7,853.03, 11,764.15 and 4,559.21 is: 6,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.03 : 11,764.15 = 4,559.21 : x
  2. Step 2: Convert to fraction form
    7,853.03/11,764.15 = 4,559.21/x
  3. Step 3: Cross multiply
    7,853.03x = 11,764.15 × 4,559.21
  4. Step 4: Simplify right side
    7,853.03x = 53,635,230.32
  5. Step 5: Solve for x
    x = 53,635,230.32/7,853.03
  6. Step 6: Final answer
    x = 6,829.88

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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.