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Finding the Fourth Proportional to 9,736.40, 14,611.80 and 6,448.40

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Solution

The fourth proportional to 9,736.40, 14,611.80 and 6,448.40 is: 9,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.40 : 14,611.80 = 6,448.40 : x
  2. Step 2: Convert to fraction form
    9,736.40/14,611.80 = 6,448.40/x
  3. Step 3: Cross multiply
    9,736.40x = 14,611.80 × 6,448.40
  4. Step 4: Simplify right side
    9,736.40x = 94,222,731.12
  5. Step 5: Solve for x
    x = 94,222,731.12/9,736.40
  6. Step 6: Final answer
    x = 9,677.37

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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.