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Finding the Fourth Proportional to 7,097.42, 10,628.94 and 6,051.44

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Solution

The fourth proportional to 7,097.42, 10,628.94 and 6,051.44 is: 9,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.42 : 10,628.94 = 6,051.44 : x
  2. Step 2: Convert to fraction form
    7,097.42/10,628.94 = 6,051.44/x
  3. Step 3: Cross multiply
    7,097.42x = 10,628.94 × 6,051.44
  4. Step 4: Simplify right side
    7,097.42x = 64,320,392.67
  5. Step 5: Solve for x
    x = 64,320,392.67/7,097.42
  6. Step 6: Final answer
    x = 9,062.50

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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.