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Finding the Fourth Proportional to 9,857.84, 14,788.44 and 3,285.68

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Solution

The fourth proportional to 9,857.84, 14,788.44 and 3,285.68 is: 4,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.84 : 14,788.44 = 3,285.68 : x
  2. Step 2: Convert to fraction form
    9,857.84/14,788.44 = 3,285.68/x
  3. Step 3: Cross multiply
    9,857.84x = 14,788.44 × 3,285.68
  4. Step 4: Simplify right side
    9,857.84x = 48,590,081.54
  5. Step 5: Solve for x
    x = 48,590,081.54/9,857.84
  6. Step 6: Final answer
    x = 4,929.08

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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.