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Finding the Fourth Proportional to 7,507.63, 11,285.74 and 6,966.55

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Solution

The fourth proportional to 7,507.63, 11,285.74 and 6,966.55 is: 10,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.63 : 11,285.74 = 6,966.55 : x
  2. Step 2: Convert to fraction form
    7,507.63/11,285.74 = 6,966.55/x
  3. Step 3: Cross multiply
    7,507.63x = 11,285.74 × 6,966.55
  4. Step 4: Simplify right side
    7,507.63x = 78,622,615.57
  5. Step 5: Solve for x
    x = 78,622,615.57/7,507.63
  6. Step 6: Final answer
    x = 10,472.37

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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.