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Finding the Fourth Proportional to 7,183, 9,907.14 and 6,528.52

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Solution

The fourth proportional to 7,183, 9,907.14 and 6,528.52 is: 9,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183 : 9,907.14 = 6,528.52 : x
  2. Step 2: Convert to fraction form
    7,183/9,907.14 = 6,528.52/x
  3. Step 3: Cross multiply
    7,183x = 9,907.14 × 6,528.52
  4. Step 4: Simplify right side
    7,183x = 64,678,961.63
  5. Step 5: Solve for x
    x = 64,678,961.63/7,183
  6. Step 6: Final answer
    x = 9,004.45

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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.