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Finding the Fourth Proportional to 9,586.67, 13,240.67 and 6,394.42

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Solution

The fourth proportional to 9,586.67, 13,240.67 and 6,394.42 is: 8,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.67 : 13,240.67 = 6,394.42 : x
  2. Step 2: Convert to fraction form
    9,586.67/13,240.67 = 6,394.42/x
  3. Step 3: Cross multiply
    9,586.67x = 13,240.67 × 6,394.42
  4. Step 4: Simplify right side
    9,586.67x = 84,666,338.86
  5. Step 5: Solve for x
    x = 84,666,338.86/9,586.67
  6. Step 6: Final answer
    x = 8,831.67

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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.