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Finding the Fourth Proportional to 7,506.70, 10,353.86 and 5,735.22

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Solution

The fourth proportional to 7,506.70, 10,353.86 and 5,735.22 is: 7,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.70 : 10,353.86 = 5,735.22 : x
  2. Step 2: Convert to fraction form
    7,506.70/10,353.86 = 5,735.22/x
  3. Step 3: Cross multiply
    7,506.70x = 10,353.86 × 5,735.22
  4. Step 4: Simplify right side
    7,506.70x = 59,381,664.95
  5. Step 5: Solve for x
    x = 59,381,664.95/7,506.70
  6. Step 6: Final answer
    x = 7,910.49

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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.