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Finding the Fourth Proportional to 6,655.77, 9,970.29 and 5,271.48

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Solution

The fourth proportional to 6,655.77, 9,970.29 and 5,271.48 is: 7,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.77 : 9,970.29 = 5,271.48 : x
  2. Step 2: Convert to fraction form
    6,655.77/9,970.29 = 5,271.48/x
  3. Step 3: Cross multiply
    6,655.77x = 9,970.29 × 5,271.48
  4. Step 4: Simplify right side
    6,655.77x = 52,558,184.33
  5. Step 5: Solve for x
    x = 52,558,184.33/6,655.77
  6. Step 6: Final answer
    x = 7,896.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.