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Finding the Fourth Proportional to 10,846.75, 14,968.53 and 5,878.75

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Solution

The fourth proportional to 10,846.75, 14,968.53 and 5,878.75 is: 8,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.75 : 14,968.53 = 5,878.75 : x
  2. Step 2: Convert to fraction form
    10,846.75/14,968.53 = 5,878.75/x
  3. Step 3: Cross multiply
    10,846.75x = 14,968.53 × 5,878.75
  4. Step 4: Simplify right side
    10,846.75x = 87,996,245.74
  5. Step 5: Solve for x
    x = 87,996,245.74/10,846.75
  6. Step 6: Final answer
    x = 8,112.68

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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.