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Finding the Fourth Proportional to 7,606.50, 10,496.97 and 4,294.50

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Solution

The fourth proportional to 7,606.50, 10,496.97 and 4,294.50 is: 5,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.50 : 10,496.97 = 4,294.50 : x
  2. Step 2: Convert to fraction form
    7,606.50/10,496.97 = 4,294.50/x
  3. Step 3: Cross multiply
    7,606.50x = 10,496.97 × 4,294.50
  4. Step 4: Simplify right side
    7,606.50x = 45,079,237.67
  5. Step 5: Solve for x
    x = 45,079,237.67/7,606.50
  6. Step 6: Final answer
    x = 5,926.41

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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.