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Finding the Fourth Proportional to 8,277.50, 11,422.95 and 5,483

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Solution

The fourth proportional to 8,277.50, 11,422.95 and 5,483 is: 7,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.50 : 11,422.95 = 5,483 : x
  2. Step 2: Convert to fraction form
    8,277.50/11,422.95 = 5,483/x
  3. Step 3: Cross multiply
    8,277.50x = 11,422.95 × 5,483
  4. Step 4: Simplify right side
    8,277.50x = 62,632,034.85
  5. Step 5: Solve for x
    x = 62,632,034.85/8,277.50
  6. Step 6: Final answer
    x = 7,566.54

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1.5x scale

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.