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Finding the Fourth Proportional to 6,997.84, 9,656.30 and 4,012.98

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Solution

The fourth proportional to 6,997.84, 9,656.30 and 4,012.98 is: 5,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.84 : 9,656.30 = 4,012.98 : x
  2. Step 2: Convert to fraction form
    6,997.84/9,656.30 = 4,012.98/x
  3. Step 3: Cross multiply
    6,997.84x = 9,656.30 × 4,012.98
  4. Step 4: Simplify right side
    6,997.84x = 38,750,538.77
  5. Step 5: Solve for x
    x = 38,750,538.77/6,997.84
  6. Step 6: Final answer
    x = 5,537.50

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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.