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Finding the Fourth Proportional to 9,409.80, 14,114.70 and 8,206.95

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Solution

The fourth proportional to 9,409.80, 14,114.70 and 8,206.95 is: 12,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.80 : 14,114.70 = 8,206.95 : x
  2. Step 2: Convert to fraction form
    9,409.80/14,114.70 = 8,206.95/x
  3. Step 3: Cross multiply
    9,409.80x = 14,114.70 × 8,206.95
  4. Step 4: Simplify right side
    9,409.80x = 115,838,637.17
  5. Step 5: Solve for x
    x = 115,838,637.17/9,409.80
  6. Step 6: Final answer
    x = 12,310.43

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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.