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Finding the Fourth Proportional to 9,297.48, 12,802.44 and 8,036.28

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Solution

The fourth proportional to 9,297.48, 12,802.44 and 8,036.28 is: 11,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.48 : 12,802.44 = 8,036.28 : x
  2. Step 2: Convert to fraction form
    9,297.48/12,802.44 = 8,036.28/x
  3. Step 3: Cross multiply
    9,297.48x = 12,802.44 × 8,036.28
  4. Step 4: Simplify right side
    9,297.48x = 102,883,992.52
  5. Step 5: Solve for x
    x = 102,883,992.52/9,297.48
  6. Step 6: Final answer
    x = 11,065.79

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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.