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Finding the Fourth Proportional to 7,309.63, 10,964.34 and 6,842.67

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Solution

The fourth proportional to 7,309.63, 10,964.34 and 6,842.67 is: 10,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.63 : 10,964.34 = 6,842.67 : x
  2. Step 2: Convert to fraction form
    7,309.63/10,964.34 = 6,842.67/x
  3. Step 3: Cross multiply
    7,309.63x = 10,964.34 × 6,842.67
  4. Step 4: Simplify right side
    7,309.63x = 75,025,360.39
  5. Step 5: Solve for x
    x = 75,025,360.39/7,309.63
  6. Step 6: Final answer
    x = 10,263.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.