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Finding the Fourth Proportional to 7,548.80, 11,304.06 and 6,313.14

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Solution

The fourth proportional to 7,548.80, 11,304.06 and 6,313.14 is: 9,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.80 : 11,304.06 = 6,313.14 : x
  2. Step 2: Convert to fraction form
    7,548.80/11,304.06 = 6,313.14/x
  3. Step 3: Cross multiply
    7,548.80x = 11,304.06 × 6,313.14
  4. Step 4: Simplify right side
    7,548.80x = 71,364,089.67
  5. Step 5: Solve for x
    x = 71,364,089.67/7,548.80
  6. Step 6: Final answer
    x = 9,453.71

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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.