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Finding the Fourth Proportional to 7,503.70, 11,256.76 and 2,309.57

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Solution

The fourth proportional to 7,503.70, 11,256.76 and 2,309.57 is: 3,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.70 : 11,256.76 = 2,309.57 : x
  2. Step 2: Convert to fraction form
    7,503.70/11,256.76 = 2,309.57/x
  3. Step 3: Cross multiply
    7,503.70x = 11,256.76 × 2,309.57
  4. Step 4: Simplify right side
    7,503.70x = 25,998,275.19
  5. Step 5: Solve for x
    x = 25,998,275.19/7,503.70
  6. Step 6: Final answer
    x = 3,464.73

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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.