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Finding the Fourth Proportional to 7,059.17, 10,596.42 and 5,309.17

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Solution

The fourth proportional to 7,059.17, 10,596.42 and 5,309.17 is: 7,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.17 : 10,596.42 = 5,309.17 : x
  2. Step 2: Convert to fraction form
    7,059.17/10,596.42 = 5,309.17/x
  3. Step 3: Cross multiply
    7,059.17x = 10,596.42 × 5,309.17
  4. Step 4: Simplify right side
    7,059.17x = 56,258,168.68
  5. Step 5: Solve for x
    x = 56,258,168.68/7,059.17
  6. Step 6: Final answer
    x = 7,969.51

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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.