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Finding the Fourth Proportional to 7,509.60, 10,362.73 and 4,151.96

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Solution

The fourth proportional to 7,509.60, 10,362.73 and 4,151.96 is: 5,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.60 : 10,362.73 = 4,151.96 : x
  2. Step 2: Convert to fraction form
    7,509.60/10,362.73 = 4,151.96/x
  3. Step 3: Cross multiply
    7,509.60x = 10,362.73 × 4,151.96
  4. Step 4: Simplify right side
    7,509.60x = 43,025,640.45
  5. Step 5: Solve for x
    x = 43,025,640.45/7,509.60
  6. Step 6: Final answer
    x = 5,729.42

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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.