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Finding the Fourth Proportional to 11,214.80, 16,838.40 and 8,460.80

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Solution

The fourth proportional to 11,214.80, 16,838.40 and 8,460.80 is: 12,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.80 : 16,838.40 = 8,460.80 : x
  2. Step 2: Convert to fraction form
    11,214.80/16,838.40 = 8,460.80/x
  3. Step 3: Cross multiply
    11,214.80x = 16,838.40 × 8,460.80
  4. Step 4: Simplify right side
    11,214.80x = 142,466,334.72
  5. Step 5: Solve for x
    x = 142,466,334.72/11,214.80
  6. Step 6: Final answer
    x = 12,703.42

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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.