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Finding the Fourth Proportional to 7,783.02, 11,617.70 and 6,750.27

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Solution

The fourth proportional to 7,783.02, 11,617.70 and 6,750.27 is: 10,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.02 : 11,617.70 = 6,750.27 : x
  2. Step 2: Convert to fraction form
    7,783.02/11,617.70 = 6,750.27/x
  3. Step 3: Cross multiply
    7,783.02x = 11,617.70 × 6,750.27
  4. Step 4: Simplify right side
    7,783.02x = 78,422,578.03
  5. Step 5: Solve for x
    x = 78,422,578.03/7,783.02
  6. Step 6: Final answer
    x = 10,076.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.