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Finding the Fourth Proportional to 7,703.77, 10,628.72 and 6,083.54

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Solution

The fourth proportional to 7,703.77, 10,628.72 and 6,083.54 is: 8,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.77 : 10,628.72 = 6,083.54 : x
  2. Step 2: Convert to fraction form
    7,703.77/10,628.72 = 6,083.54/x
  3. Step 3: Cross multiply
    7,703.77x = 10,628.72 × 6,083.54
  4. Step 4: Simplify right side
    7,703.77x = 64,660,190.13
  5. Step 5: Solve for x
    x = 64,660,190.13/7,703.77
  6. Step 6: Final answer
    x = 8,393.32

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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.