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Finding the Fourth Proportional to 9,567, 13,202.22 and 5,318.07

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Solution

The fourth proportional to 9,567, 13,202.22 and 5,318.07 is: 7,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567 : 13,202.22 = 5,318.07 : x
  2. Step 2: Convert to fraction form
    9,567/13,202.22 = 5,318.07/x
  3. Step 3: Cross multiply
    9,567x = 13,202.22 × 5,318.07
  4. Step 4: Simplify right side
    9,567x = 70,210,330.12
  5. Step 5: Solve for x
    x = 70,210,330.12/9,567
  6. Step 6: Final answer
    x = 7,338.80

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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.