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Finding the Fourth Proportional to 9,349.74, 12,894 and 6,965.58

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Solution

The fourth proportional to 9,349.74, 12,894 and 6,965.58 is: 9,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.74 : 12,894 = 6,965.58 : x
  2. Step 2: Convert to fraction form
    9,349.74/12,894 = 6,965.58/x
  3. Step 3: Cross multiply
    9,349.74x = 12,894 × 6,965.58
  4. Step 4: Simplify right side
    9,349.74x = 89,814,188.52
  5. Step 5: Solve for x
    x = 89,814,188.52/9,349.74
  6. Step 6: Final answer
    x = 9,606.06

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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.