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Finding the Fourth Proportional to 12,294.07, 16,965.93 and 6,705.07

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Solution

The fourth proportional to 12,294.07, 16,965.93 and 6,705.07 is: 9,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.07 : 16,965.93 = 6,705.07 : x
  2. Step 2: Convert to fraction form
    12,294.07/16,965.93 = 6,705.07/x
  3. Step 3: Cross multiply
    12,294.07x = 16,965.93 × 6,705.07
  4. Step 4: Simplify right side
    12,294.07x = 113,757,748.27
  5. Step 5: Solve for x
    x = 113,757,748.27/12,294.07
  6. Step 6: Final answer
    x = 9,253.06

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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.