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Finding the Fourth Proportional to 6,054, 9,097.68 and 5,292.24

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Solution

The fourth proportional to 6,054, 9,097.68 and 5,292.24 is: 7,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054 : 9,097.68 = 5,292.24 : x
  2. Step 2: Convert to fraction form
    6,054/9,097.68 = 5,292.24/x
  3. Step 3: Cross multiply
    6,054x = 9,097.68 × 5,292.24
  4. Step 4: Simplify right side
    6,054x = 48,147,106.00
  5. Step 5: Solve for x
    x = 48,147,106.00/6,054
  6. Step 6: Final answer
    x = 7,952.94

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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.