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Finding the Fourth Proportional to 7,255, 10,882.50 and 1,783

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Solution

The fourth proportional to 7,255, 10,882.50 and 1,783 is: 2,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255 : 10,882.50 = 1,783 : x
  2. Step 2: Convert to fraction form
    7,255/10,882.50 = 1,783/x
  3. Step 3: Cross multiply
    7,255x = 10,882.50 × 1,783
  4. Step 4: Simplify right side
    7,255x = 19,403,497.50
  5. Step 5: Solve for x
    x = 19,403,497.50/7,255
  6. Step 6: Final answer
    x = 2,674.50

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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.