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Finding the Fourth Proportional to 10,652.94, 14,701.50 and 5,936.94

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Solution

The fourth proportional to 10,652.94, 14,701.50 and 5,936.94 is: 8,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.94 : 14,701.50 = 5,936.94 : x
  2. Step 2: Convert to fraction form
    10,652.94/14,701.50 = 5,936.94/x
  3. Step 3: Cross multiply
    10,652.94x = 14,701.50 × 5,936.94
  4. Step 4: Simplify right side
    10,652.94x = 87,281,923.41
  5. Step 5: Solve for x
    x = 87,281,923.41/10,652.94
  6. Step 6: Final answer
    x = 8,193.22

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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.