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Finding the Fourth Proportional to 7,663.86, 11,495.41 and 4,503.06

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Solution

The fourth proportional to 7,663.86, 11,495.41 and 4,503.06 is: 6,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.86 : 11,495.41 = 4,503.06 : x
  2. Step 2: Convert to fraction form
    7,663.86/11,495.41 = 4,503.06/x
  3. Step 3: Cross multiply
    7,663.86x = 11,495.41 × 4,503.06
  4. Step 4: Simplify right side
    7,663.86x = 51,764,520.95
  5. Step 5: Solve for x
    x = 51,764,520.95/7,663.86
  6. Step 6: Final answer
    x = 6,754.37

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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.