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Finding the Fourth Proportional to 6,043.60, 9,054.60 and 5,114.80

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Solution

The fourth proportional to 6,043.60, 9,054.60 and 5,114.80 is: 7,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.60 : 9,054.60 = 5,114.80 : x
  2. Step 2: Convert to fraction form
    6,043.60/9,054.60 = 5,114.80/x
  3. Step 3: Cross multiply
    6,043.60x = 9,054.60 × 5,114.80
  4. Step 4: Simplify right side
    6,043.60x = 46,312,468.08
  5. Step 5: Solve for x
    x = 46,312,468.08/6,043.60
  6. Step 6: Final answer
    x = 7,663.06

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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.