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Finding the Fourth Proportional to 7,509.75, 10,363.46 and 4,197.75

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Solution

The fourth proportional to 7,509.75, 10,363.46 and 4,197.75 is: 5,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.75 : 10,363.46 = 4,197.75 : x
  2. Step 2: Convert to fraction form
    7,509.75/10,363.46 = 4,197.75/x
  3. Step 3: Cross multiply
    7,509.75x = 10,363.46 × 4,197.75
  4. Step 4: Simplify right side
    7,509.75x = 43,503,214.22
  5. Step 5: Solve for x
    x = 43,503,214.22/7,509.75
  6. Step 6: Final answer
    x = 5,792.90

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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.