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Finding the Fourth Proportional to 9,642.61, 13,301.26 and 5,662.99

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Solution

The fourth proportional to 9,642.61, 13,301.26 and 5,662.99 is: 7,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.61 : 13,301.26 = 5,662.99 : x
  2. Step 2: Convert to fraction form
    9,642.61/13,301.26 = 5,662.99/x
  3. Step 3: Cross multiply
    9,642.61x = 13,301.26 × 5,662.99
  4. Step 4: Simplify right side
    9,642.61x = 75,324,902.37
  5. Step 5: Solve for x
    x = 75,324,902.37/9,642.61
  6. Step 6: Final answer
    x = 7,811.67

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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.