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Finding the Fourth Proportional to 9,893.84, 13,647.06 and 6,669.08

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Solution

The fourth proportional to 9,893.84, 13,647.06 and 6,669.08 is: 9,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.84 : 13,647.06 = 6,669.08 : x
  2. Step 2: Convert to fraction form
    9,893.84/13,647.06 = 6,669.08/x
  3. Step 3: Cross multiply
    9,893.84x = 13,647.06 × 6,669.08
  4. Step 4: Simplify right side
    9,893.84x = 91,013,334.90
  5. Step 5: Solve for x
    x = 91,013,334.90/9,893.84
  6. Step 6: Final answer
    x = 9,198.99

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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.