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Finding the Fourth Proportional to 9,717.46, 14,577.54 and 4,787.14

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Solution

The fourth proportional to 9,717.46, 14,577.54 and 4,787.14 is: 7,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.46 : 14,577.54 = 4,787.14 : x
  2. Step 2: Convert to fraction form
    9,717.46/14,577.54 = 4,787.14/x
  3. Step 3: Cross multiply
    9,717.46x = 14,577.54 × 4,787.14
  4. Step 4: Simplify right side
    9,717.46x = 69,784,724.84
  5. Step 5: Solve for x
    x = 69,784,724.84/9,717.46
  6. Step 6: Final answer
    x = 7,181.38

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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.