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Finding the Fourth Proportional to 9,787.75, 14,681.63 and 2,392.20

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Solution

The fourth proportional to 9,787.75, 14,681.63 and 2,392.20 is: 3,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.75 : 14,681.63 = 2,392.20 : x
  2. Step 2: Convert to fraction form
    9,787.75/14,681.63 = 2,392.20/x
  3. Step 3: Cross multiply
    9,787.75x = 14,681.63 × 2,392.20
  4. Step 4: Simplify right side
    9,787.75x = 35,121,383.33
  5. Step 5: Solve for x
    x = 35,121,383.33/9,787.75
  6. Step 6: Final answer
    x = 3,588.30

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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.