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Finding the Fourth Proportional to 9,857.33, 14,788.35 and 3,283.57

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Solution

The fourth proportional to 9,857.33, 14,788.35 and 3,283.57 is: 4,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.33 : 14,788.35 = 3,283.57 : x
  2. Step 2: Convert to fraction form
    9,857.33/14,788.35 = 3,283.57/x
  3. Step 3: Cross multiply
    9,857.33x = 14,788.35 × 3,283.57
  4. Step 4: Simplify right side
    9,857.33x = 48,558,582.41
  5. Step 5: Solve for x
    x = 48,558,582.41/9,857.33
  6. Step 6: Final answer
    x = 4,926.14

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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.