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Finding the Fourth Proportional to 5,150.77, 7,726.16 and 2,376.63

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Solution

The fourth proportional to 5,150.77, 7,726.16 and 2,376.63 is: 3,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.77 : 7,726.16 = 2,376.63 : x
  2. Step 2: Convert to fraction form
    5,150.77/7,726.16 = 2,376.63/x
  3. Step 3: Cross multiply
    5,150.77x = 7,726.16 × 2,376.63
  4. Step 4: Simplify right side
    5,150.77x = 18,362,185.01
  5. Step 5: Solve for x
    x = 18,362,185.01/5,150.77
  6. Step 6: Final answer
    x = 3,564.94

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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.