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Finding the Fourth Proportional to 14,596.60, 21,894.90 and 6,820.60

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Solution

The fourth proportional to 14,596.60, 21,894.90 and 6,820.60 is: 10,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.60 : 21,894.90 = 6,820.60 : x
  2. Step 2: Convert to fraction form
    14,596.60/21,894.90 = 6,820.60/x
  3. Step 3: Cross multiply
    14,596.60x = 21,894.90 × 6,820.60
  4. Step 4: Simplify right side
    14,596.60x = 149,336,354.94
  5. Step 5: Solve for x
    x = 149,336,354.94/14,596.60
  6. Step 6: Final answer
    x = 10,230.90

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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.