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Finding the Fourth Proportional to 11,482.09, 17,223.12 and 3,162.16

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Solution

The fourth proportional to 11,482.09, 17,223.12 and 3,162.16 is: 4,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.09 : 17,223.12 = 3,162.16 : x
  2. Step 2: Convert to fraction form
    11,482.09/17,223.12 = 3,162.16/x
  3. Step 3: Cross multiply
    11,482.09x = 17,223.12 × 3,162.16
  4. Step 4: Simplify right side
    11,482.09x = 54,462,261.14
  5. Step 5: Solve for x
    x = 54,462,261.14/11,482.09
  6. Step 6: Final answer
    x = 4,743.24

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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.