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Finding the Fourth Proportional to 6,972.63, 9,563.24 and 6,185.31

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Solution

The fourth proportional to 6,972.63, 9,563.24 and 6,185.31 is: 8,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.63 : 9,563.24 = 6,185.31 : x
  2. Step 2: Convert to fraction form
    6,972.63/9,563.24 = 6,185.31/x
  3. Step 3: Cross multiply
    6,972.63x = 9,563.24 × 6,185.31
  4. Step 4: Simplify right side
    6,972.63x = 59,151,573.08
  5. Step 5: Solve for x
    x = 59,151,573.08/6,972.63
  6. Step 6: Final answer
    x = 8,483.39

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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.