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Finding the Fourth Proportional to 6,966.45, 10,429.97 and 6,309.54

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Solution

The fourth proportional to 6,966.45, 10,429.97 and 6,309.54 is: 9,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.45 : 10,429.97 = 6,309.54 : x
  2. Step 2: Convert to fraction form
    6,966.45/10,429.97 = 6,309.54/x
  3. Step 3: Cross multiply
    6,966.45x = 10,429.97 × 6,309.54
  4. Step 4: Simplify right side
    6,966.45x = 65,808,281.37
  5. Step 5: Solve for x
    x = 65,808,281.37/6,966.45
  6. Step 6: Final answer
    x = 9,446.46

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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.