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Finding the Fourth Proportional to 9,806.60, 14,710.80 and 3,232.80

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Solution

The fourth proportional to 9,806.60, 14,710.80 and 3,232.80 is: 4,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.60 : 14,710.80 = 3,232.80 : x
  2. Step 2: Convert to fraction form
    9,806.60/14,710.80 = 3,232.80/x
  3. Step 3: Cross multiply
    9,806.60x = 14,710.80 × 3,232.80
  4. Step 4: Simplify right side
    9,806.60x = 47,557,074.24
  5. Step 5: Solve for x
    x = 47,557,074.24/9,806.60
  6. Step 6: Final answer
    x = 4,849.50

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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.