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Finding the Fourth Proportional to 6,072.70, 8,325.70 and 5,962.00

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Solution

The fourth proportional to 6,072.70, 8,325.70 and 5,962.00 is: 8,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.70 : 8,325.70 = 5,962.00 : x
  2. Step 2: Convert to fraction form
    6,072.70/8,325.70 = 5,962.00/x
  3. Step 3: Cross multiply
    6,072.70x = 8,325.70 × 5,962.00
  4. Step 4: Simplify right side
    6,072.70x = 49,637,810.04
  5. Step 5: Solve for x
    x = 49,637,810.04/6,072.70
  6. Step 6: Final answer
    x = 8,173.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.