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Finding the Fourth Proportional to 7,706.03, 11,544.09 and 5,065.53

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Solution

The fourth proportional to 7,706.03, 11,544.09 and 5,065.53 is: 7,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.03 : 11,544.09 = 5,065.53 : x
  2. Step 2: Convert to fraction form
    7,706.03/11,544.09 = 5,065.53/x
  3. Step 3: Cross multiply
    7,706.03x = 11,544.09 × 5,065.53
  4. Step 4: Simplify right side
    7,706.03x = 58,476,934.22
  5. Step 5: Solve for x
    x = 58,476,934.22/7,706.03
  6. Step 6: Final answer
    x = 7,588.47

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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.