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Finding the Fourth Proportional to 8,036.50, 12,054.75 and 3,419.50

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Solution

The fourth proportional to 8,036.50, 12,054.75 and 3,419.50 is: 5,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.50 : 12,054.75 = 3,419.50 : x
  2. Step 2: Convert to fraction form
    8,036.50/12,054.75 = 3,419.50/x
  3. Step 3: Cross multiply
    8,036.50x = 12,054.75 × 3,419.50
  4. Step 4: Simplify right side
    8,036.50x = 41,221,217.63
  5. Step 5: Solve for x
    x = 41,221,217.63/8,036.50
  6. Step 6: Final answer
    x = 5,129.25

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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.