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Finding the Fourth Proportional to 7,586.53, 11,323.61 and 7,119.06

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Solution

The fourth proportional to 7,586.53, 11,323.61 and 7,119.06 is: 10,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.53 : 11,323.61 = 7,119.06 : x
  2. Step 2: Convert to fraction form
    7,586.53/11,323.61 = 7,119.06/x
  3. Step 3: Cross multiply
    7,586.53x = 11,323.61 × 7,119.06
  4. Step 4: Simplify right side
    7,586.53x = 80,613,447.69
  5. Step 5: Solve for x
    x = 80,613,447.69/7,586.53
  6. Step 6: Final answer
    x = 10,625.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.