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Finding the Fourth Proportional to 9,690.12, 14,533.02 and 3,845.16

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Solution

The fourth proportional to 9,690.12, 14,533.02 and 3,845.16 is: 5,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.12 : 14,533.02 = 3,845.16 : x
  2. Step 2: Convert to fraction form
    9,690.12/14,533.02 = 3,845.16/x
  3. Step 3: Cross multiply
    9,690.12x = 14,533.02 × 3,845.16
  4. Step 4: Simplify right side
    9,690.12x = 55,881,787.18
  5. Step 5: Solve for x
    x = 55,881,787.18/9,690.12
  6. Step 6: Final answer
    x = 5,766.88

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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.