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Finding the Fourth Proportional to 10,173.84, 15,259.01 and 3,057.97

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Solution

The fourth proportional to 10,173.84, 15,259.01 and 3,057.97 is: 4,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.84 : 15,259.01 = 3,057.97 : x
  2. Step 2: Convert to fraction form
    10,173.84/15,259.01 = 3,057.97/x
  3. Step 3: Cross multiply
    10,173.84x = 15,259.01 × 3,057.97
  4. Step 4: Simplify right side
    10,173.84x = 46,661,594.81
  5. Step 5: Solve for x
    x = 46,661,594.81/10,173.84
  6. Step 6: Final answer
    x = 4,586.43

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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.