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Finding the Fourth Proportional to 9,770.64, 14,662.11 and 4,840.56

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Solution

The fourth proportional to 9,770.64, 14,662.11 and 4,840.56 is: 7,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.64 : 14,662.11 = 4,840.56 : x
  2. Step 2: Convert to fraction form
    9,770.64/14,662.11 = 4,840.56/x
  3. Step 3: Cross multiply
    9,770.64x = 14,662.11 × 4,840.56
  4. Step 4: Simplify right side
    9,770.64x = 70,972,823.18
  5. Step 5: Solve for x
    x = 70,972,823.18/9,770.64
  6. Step 6: Final answer
    x = 7,263.89

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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.