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Finding the Fourth Proportional to 10,804.59, 16,206.89 and 3,409.63

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Solution

The fourth proportional to 10,804.59, 16,206.89 and 3,409.63 is: 5,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.59 : 16,206.89 = 3,409.63 : x
  2. Step 2: Convert to fraction form
    10,804.59/16,206.89 = 3,409.63/x
  3. Step 3: Cross multiply
    10,804.59x = 16,206.89 × 3,409.63
  4. Step 4: Simplify right side
    10,804.59x = 55,259,498.35
  5. Step 5: Solve for x
    x = 55,259,498.35/10,804.59
  6. Step 6: Final answer
    x = 5,114.45

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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.