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Finding the Fourth Proportional to 34,609.84, 51,914.76 and 9,648.88

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Solution

The fourth proportional to 34,609.84, 51,914.76 and 9,648.88 is: 14,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,609.84 : 51,914.76 = 9,648.88 : x
  2. Step 2: Convert to fraction form
    34,609.84/51,914.76 = 9,648.88/x
  3. Step 3: Cross multiply
    34,609.84x = 51,914.76 × 9,648.88
  4. Step 4: Simplify right side
    34,609.84x = 500,919,289.47
  5. Step 5: Solve for x
    x = 500,919,289.47/34,609.84
  6. Step 6: Final answer
    x = 14,473.32

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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.