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Finding the Fourth Proportional to 7,753.31, 10,703.64 and 6,224.22

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Solution

The fourth proportional to 7,753.31, 10,703.64 and 6,224.22 is: 8,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.31 : 10,703.64 = 6,224.22 : x
  2. Step 2: Convert to fraction form
    7,753.31/10,703.64 = 6,224.22/x
  3. Step 3: Cross multiply
    7,753.31x = 10,703.64 × 6,224.22
  4. Step 4: Simplify right side
    7,753.31x = 66,621,810.16
  5. Step 5: Solve for x
    x = 66,621,810.16/7,753.31
  6. Step 6: Final answer
    x = 8,592.70

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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.