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Finding the Fourth Proportional to 9,772.89, 14,655.21 and 3,848.85

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Solution

The fourth proportional to 9,772.89, 14,655.21 and 3,848.85 is: 5,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.89 : 14,655.21 = 3,848.85 : x
  2. Step 2: Convert to fraction form
    9,772.89/14,655.21 = 3,848.85/x
  3. Step 3: Cross multiply
    9,772.89x = 14,655.21 × 3,848.85
  4. Step 4: Simplify right side
    9,772.89x = 56,405,705.01
  5. Step 5: Solve for x
    x = 56,405,705.01/9,772.89
  6. Step 6: Final answer
    x = 5,771.65

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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.