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Finding the Fourth Proportional to 7,725.70, 11,588.55 and 3,837.70

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Solution

The fourth proportional to 7,725.70, 11,588.55 and 3,837.70 is: 5,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.70 : 11,588.55 = 3,837.70 : x
  2. Step 2: Convert to fraction form
    7,725.70/11,588.55 = 3,837.70/x
  3. Step 3: Cross multiply
    7,725.70x = 11,588.55 × 3,837.70
  4. Step 4: Simplify right side
    7,725.70x = 44,473,378.34
  5. Step 5: Solve for x
    x = 44,473,378.34/7,725.70
  6. Step 6: Final answer
    x = 5,756.55

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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.