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Finding the Fourth Proportional to 9,356.40, 12,912.74 and 6,994.44

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Solution

The fourth proportional to 9,356.40, 12,912.74 and 6,994.44 is: 9,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.40 : 12,912.74 = 6,994.44 : x
  2. Step 2: Convert to fraction form
    9,356.40/12,912.74 = 6,994.44/x
  3. Step 3: Cross multiply
    9,356.40x = 12,912.74 × 6,994.44
  4. Step 4: Simplify right side
    9,356.40x = 90,317,385.17
  5. Step 5: Solve for x
    x = 90,317,385.17/9,356.40
  6. Step 6: Final answer
    x = 9,653.01

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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.