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Finding the Fourth Proportional to 9,097.52, 12,550.44 and 5,560

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Solution

The fourth proportional to 9,097.52, 12,550.44 and 5,560 is: 7,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.52 : 12,550.44 = 5,560 : x
  2. Step 2: Convert to fraction form
    9,097.52/12,550.44 = 5,560/x
  3. Step 3: Cross multiply
    9,097.52x = 12,550.44 × 5,560
  4. Step 4: Simplify right side
    9,097.52x = 69,780,446.40
  5. Step 5: Solve for x
    x = 69,780,446.40/9,097.52
  6. Step 6: Final answer
    x = 7,670.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.