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Finding the Fourth Proportional to 9,763.68, 14,659.80 and 6,441.84

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Solution

The fourth proportional to 9,763.68, 14,659.80 and 6,441.84 is: 9,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.68 : 14,659.80 = 6,441.84 : x
  2. Step 2: Convert to fraction form
    9,763.68/14,659.80 = 6,441.84/x
  3. Step 3: Cross multiply
    9,763.68x = 14,659.80 × 6,441.84
  4. Step 4: Simplify right side
    9,763.68x = 94,436,086.03
  5. Step 5: Solve for x
    x = 94,436,086.03/9,763.68
  6. Step 6: Final answer
    x = 9,672.18

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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.