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Finding the Fourth Proportional to 12,596.50, 18,894.75 and 3,362.50

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Solution

The fourth proportional to 12,596.50, 18,894.75 and 3,362.50 is: 5,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.50 : 18,894.75 = 3,362.50 : x
  2. Step 2: Convert to fraction form
    12,596.50/18,894.75 = 3,362.50/x
  3. Step 3: Cross multiply
    12,596.50x = 18,894.75 × 3,362.50
  4. Step 4: Simplify right side
    12,596.50x = 63,533,596.88
  5. Step 5: Solve for x
    x = 63,533,596.88/12,596.50
  6. Step 6: Final answer
    x = 5,043.75

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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.