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Finding the Fourth Proportional to 10,204, 14,081.52 and 6,014.80

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Solution

The fourth proportional to 10,204, 14,081.52 and 6,014.80 is: 8,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204 : 14,081.52 = 6,014.80 : x
  2. Step 2: Convert to fraction form
    10,204/14,081.52 = 6,014.80/x
  3. Step 3: Cross multiply
    10,204x = 14,081.52 × 6,014.80
  4. Step 4: Simplify right side
    10,204x = 84,697,526.50
  5. Step 5: Solve for x
    x = 84,697,526.50/10,204
  6. Step 6: Final answer
    x = 8,300.42

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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.