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Finding the Fourth Proportional to 6,769.84, 10,133.34 and 6,065.50

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Solution

The fourth proportional to 6,769.84, 10,133.34 and 6,065.50 is: 9,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.84 : 10,133.34 = 6,065.50 : x
  2. Step 2: Convert to fraction form
    6,769.84/10,133.34 = 6,065.50/x
  3. Step 3: Cross multiply
    6,769.84x = 10,133.34 × 6,065.50
  4. Step 4: Simplify right side
    6,769.84x = 61,463,773.77
  5. Step 5: Solve for x
    x = 61,463,773.77/6,769.84
  6. Step 6: Final answer
    x = 9,079.06

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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.