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Finding the Fourth Proportional to 9,971.70, 13,760.46 and 5,495.64

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Solution

The fourth proportional to 9,971.70, 13,760.46 and 5,495.64 is: 7,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.70 : 13,760.46 = 5,495.64 : x
  2. Step 2: Convert to fraction form
    9,971.70/13,760.46 = 5,495.64/x
  3. Step 3: Cross multiply
    9,971.70x = 13,760.46 × 5,495.64
  4. Step 4: Simplify right side
    9,971.70x = 75,622,534.39
  5. Step 5: Solve for x
    x = 75,622,534.39/9,971.70
  6. Step 6: Final answer
    x = 7,583.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.