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Finding the Fourth Proportional to 7,660.69, 10,571.74 and 4,303.60

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Solution

The fourth proportional to 7,660.69, 10,571.74 and 4,303.60 is: 5,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.69 : 10,571.74 = 4,303.60 : x
  2. Step 2: Convert to fraction form
    7,660.69/10,571.74 = 4,303.60/x
  3. Step 3: Cross multiply
    7,660.69x = 10,571.74 × 4,303.60
  4. Step 4: Simplify right side
    7,660.69x = 45,496,540.26
  5. Step 5: Solve for x
    x = 45,496,540.26/7,660.69
  6. Step 6: Final answer
    x = 5,938.96

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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.