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Finding the Fourth Proportional to 5,159.70, 7,741.26 and 1,650.24

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Solution

The fourth proportional to 5,159.70, 7,741.26 and 1,650.24 is: 2,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.70 : 7,741.26 = 1,650.24 : x
  2. Step 2: Convert to fraction form
    5,159.70/7,741.26 = 1,650.24/x
  3. Step 3: Cross multiply
    5,159.70x = 7,741.26 × 1,650.24
  4. Step 4: Simplify right side
    5,159.70x = 12,774,936.90
  5. Step 5: Solve for x
    x = 12,774,936.90/5,159.70
  6. Step 6: Final answer
    x = 2,475.91

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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.