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Finding the Fourth Proportional to 6,997.55, 9,656.06 and 4,344.45

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Solution

The fourth proportional to 6,997.55, 9,656.06 and 4,344.45 is: 5,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.55 : 9,656.06 = 4,344.45 : x
  2. Step 2: Convert to fraction form
    6,997.55/9,656.06 = 4,344.45/x
  3. Step 3: Cross multiply
    6,997.55x = 9,656.06 × 4,344.45
  4. Step 4: Simplify right side
    6,997.55x = 41,950,248.14
  5. Step 5: Solve for x
    x = 41,950,248.14/6,997.55
  6. Step 6: Final answer
    x = 5,995.00

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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.