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Finding the Fourth Proportional to 9,770.41, 13,473.03 and 7,642.27

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Solution

The fourth proportional to 9,770.41, 13,473.03 and 7,642.27 is: 10,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.41 : 13,473.03 = 7,642.27 : x
  2. Step 2: Convert to fraction form
    9,770.41/13,473.03 = 7,642.27/x
  3. Step 3: Cross multiply
    9,770.41x = 13,473.03 × 7,642.27
  4. Step 4: Simplify right side
    9,770.41x = 102,964,532.98
  5. Step 5: Solve for x
    x = 102,964,532.98/9,770.41
  6. Step 6: Final answer
    x = 10,538.40

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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.