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Finding the Fourth Proportional to 9,672.77, 14,506.82 and 6,157.50

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Solution

The fourth proportional to 9,672.77, 14,506.82 and 6,157.50 is: 9,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.77 : 14,506.82 = 6,157.50 : x
  2. Step 2: Convert to fraction form
    9,672.77/14,506.82 = 6,157.50/x
  3. Step 3: Cross multiply
    9,672.77x = 14,506.82 × 6,157.50
  4. Step 4: Simplify right side
    9,672.77x = 89,325,744.15
  5. Step 5: Solve for x
    x = 89,325,744.15/9,672.77
  6. Step 6: Final answer
    x = 9,234.76

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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.