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Finding the Fourth Proportional to 9,765.70, 14,672.61 and 6,257.22

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Solution

The fourth proportional to 9,765.70, 14,672.61 and 6,257.22 is: 9,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.70 : 14,672.61 = 6,257.22 : x
  2. Step 2: Convert to fraction form
    9,765.70/14,672.61 = 6,257.22/x
  3. Step 3: Cross multiply
    9,765.70x = 14,672.61 × 6,257.22
  4. Step 4: Simplify right side
    9,765.70x = 91,809,693.72
  5. Step 5: Solve for x
    x = 91,809,693.72/9,765.70
  6. Step 6: Final answer
    x = 9,401.24

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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.