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Finding the Fourth Proportional to 7,504.94, 10,349.90 and 6,908.75

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Solution

The fourth proportional to 7,504.94, 10,349.90 and 6,908.75 is: 9,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.94 : 10,349.90 = 6,908.75 : x
  2. Step 2: Convert to fraction form
    7,504.94/10,349.90 = 6,908.75/x
  3. Step 3: Cross multiply
    7,504.94x = 10,349.90 × 6,908.75
  4. Step 4: Simplify right side
    7,504.94x = 71,504,871.63
  5. Step 5: Solve for x
    x = 71,504,871.63/7,504.94
  6. Step 6: Final answer
    x = 9,527.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.