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Finding the Fourth Proportional to 12,294.75, 16,966.97 and 6,705.75

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Solution

The fourth proportional to 12,294.75, 16,966.97 and 6,705.75 is: 9,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.75 : 16,966.97 = 6,705.75 : x
  2. Step 2: Convert to fraction form
    12,294.75/16,966.97 = 6,705.75/x
  3. Step 3: Cross multiply
    12,294.75x = 16,966.97 × 6,705.75
  4. Step 4: Simplify right side
    12,294.75x = 113,776,225.55
  5. Step 5: Solve for x
    x = 113,776,225.55/12,294.75
  6. Step 6: Final answer
    x = 9,254.05

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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.