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Finding the Fourth Proportional to 9,788.63, 13,519.52 and 6,446.38

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Solution

The fourth proportional to 9,788.63, 13,519.52 and 6,446.38 is: 8,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.63 : 13,519.52 = 6,446.38 : x
  2. Step 2: Convert to fraction form
    9,788.63/13,519.52 = 6,446.38/x
  3. Step 3: Cross multiply
    9,788.63x = 13,519.52 × 6,446.38
  4. Step 4: Simplify right side
    9,788.63x = 87,151,897.31
  5. Step 5: Solve for x
    x = 87,151,897.31/9,788.63
  6. Step 6: Final answer
    x = 8,903.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.