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Finding the Fourth Proportional to 7,558.69, 10,430.79 and 4,201.42

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Solution

The fourth proportional to 7,558.69, 10,430.79 and 4,201.42 is: 5,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.69 : 10,430.79 = 4,201.42 : x
  2. Step 2: Convert to fraction form
    7,558.69/10,430.79 = 4,201.42/x
  3. Step 3: Cross multiply
    7,558.69x = 10,430.79 × 4,201.42
  4. Step 4: Simplify right side
    7,558.69x = 43,824,129.72
  5. Step 5: Solve for x
    x = 43,824,129.72/7,558.69
  6. Step 6: Final answer
    x = 5,797.85

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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.