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Finding the Fourth Proportional to 4,259.94, 6,349.63 and 4,051.98

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Solution

The fourth proportional to 4,259.94, 6,349.63 and 4,051.98 is: 6,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.94 : 6,349.63 = 4,051.98 : x
  2. Step 2: Convert to fraction form
    4,259.94/6,349.63 = 4,051.98/x
  3. Step 3: Cross multiply
    4,259.94x = 6,349.63 × 4,051.98
  4. Step 4: Simplify right side
    4,259.94x = 25,728,573.77
  5. Step 5: Solve for x
    x = 25,728,573.77/4,259.94
  6. Step 6: Final answer
    x = 6,039.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.