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Finding the Fourth Proportional to 9,482.30, 14,226.64 and 5,968.22

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Solution

The fourth proportional to 9,482.30, 14,226.64 and 5,968.22 is: 8,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.30 : 14,226.64 = 5,968.22 : x
  2. Step 2: Convert to fraction form
    9,482.30/14,226.64 = 5,968.22/x
  3. Step 3: Cross multiply
    9,482.30x = 14,226.64 × 5,968.22
  4. Step 4: Simplify right side
    9,482.30x = 84,907,631.33
  5. Step 5: Solve for x
    x = 84,907,631.33/9,482.30
  6. Step 6: Final answer
    x = 8,954.33

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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.