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Finding the Fourth Proportional to 15,649.81, 23,460.81 and 5,786.78

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Solution

The fourth proportional to 15,649.81, 23,460.81 and 5,786.78 is: 8,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.81 : 23,460.81 = 5,786.78 : x
  2. Step 2: Convert to fraction form
    15,649.81/23,460.81 = 5,786.78/x
  3. Step 3: Cross multiply
    15,649.81x = 23,460.81 × 5,786.78
  4. Step 4: Simplify right side
    15,649.81x = 135,762,554.89
  5. Step 5: Solve for x
    x = 135,762,554.89/15,649.81
  6. Step 6: Final answer
    x = 8,675.03

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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.