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Finding the Fourth Proportional to 34,610.75, 51,924.80 and 9,986.75

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Solution

The fourth proportional to 34,610.75, 51,924.80 and 9,986.75 is: 14,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.75 : 51,924.80 = 9,986.75 : x
  2. Step 2: Convert to fraction form
    34,610.75/51,924.80 = 9,986.75/x
  3. Step 3: Cross multiply
    34,610.75x = 51,924.80 × 9,986.75
  4. Step 4: Simplify right side
    34,610.75x = 518,559,996.40
  5. Step 5: Solve for x
    x = 518,559,996.40/34,610.75
  6. Step 6: Final answer
    x = 14,982.63

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1.5x scale

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.