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Finding the Fourth Proportional to 9,787.60, 14,664.60 and 4,582.80

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Solution

The fourth proportional to 9,787.60, 14,664.60 and 4,582.80 is: 6,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.60 : 14,664.60 = 4,582.80 : x
  2. Step 2: Convert to fraction form
    9,787.60/14,664.60 = 4,582.80/x
  3. Step 3: Cross multiply
    9,787.60x = 14,664.60 × 4,582.80
  4. Step 4: Simplify right side
    9,787.60x = 67,204,928.88
  5. Step 5: Solve for x
    x = 67,204,928.88/9,787.60
  6. Step 6: Final answer
    x = 6,866.33

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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.