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Finding the Fourth Proportional to 9,283.01, 13,873.53 and 6,789.44

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Solution

The fourth proportional to 9,283.01, 13,873.53 and 6,789.44 is: 10,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.01 : 13,873.53 = 6,789.44 : x
  2. Step 2: Convert to fraction form
    9,283.01/13,873.53 = 6,789.44/x
  3. Step 3: Cross multiply
    9,283.01x = 13,873.53 × 6,789.44
  4. Step 4: Simplify right side
    9,283.01x = 94,193,559.67
  5. Step 5: Solve for x
    x = 94,193,559.67/9,283.01
  6. Step 6: Final answer
    x = 10,146.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.