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Finding the Fourth Proportional to 9,788.82, 13,502.58 and 5,807.26

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Solution

The fourth proportional to 9,788.82, 13,502.58 and 5,807.26 is: 8,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.82 : 13,502.58 = 5,807.26 : x
  2. Step 2: Convert to fraction form
    9,788.82/13,502.58 = 5,807.26/x
  3. Step 3: Cross multiply
    9,788.82x = 13,502.58 × 5,807.26
  4. Step 4: Simplify right side
    9,788.82x = 78,412,992.73
  5. Step 5: Solve for x
    x = 78,412,992.73/9,788.82
  6. Step 6: Final answer
    x = 8,010.46

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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.