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Finding the Fourth Proportional to 6,296.51, 9,482.26 and 5,484.59

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Solution

The fourth proportional to 6,296.51, 9,482.26 and 5,484.59 is: 8,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.51 : 9,482.26 = 5,484.59 : x
  2. Step 2: Convert to fraction form
    6,296.51/9,482.26 = 5,484.59/x
  3. Step 3: Cross multiply
    6,296.51x = 9,482.26 × 5,484.59
  4. Step 4: Simplify right side
    6,296.51x = 52,006,318.37
  5. Step 5: Solve for x
    x = 52,006,318.37/6,296.51
  6. Step 6: Final answer
    x = 8,259.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.