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Finding the Fourth Proportional to 9,966.42, 14,954.58 and 7,327.44

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Solution

The fourth proportional to 9,966.42, 14,954.58 and 7,327.44 is: 10,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.42 : 14,954.58 = 7,327.44 : x
  2. Step 2: Convert to fraction form
    9,966.42/14,954.58 = 7,327.44/x
  3. Step 3: Cross multiply
    9,966.42x = 14,954.58 × 7,327.44
  4. Step 4: Simplify right side
    9,966.42x = 109,578,787.68
  5. Step 5: Solve for x
    x = 109,578,787.68/9,966.42
  6. Step 6: Final answer
    x = 10,994.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.