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Finding the Fourth Proportional to 14,843.16, 22,271.31 and 7,821.45

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Solution

The fourth proportional to 14,843.16, 22,271.31 and 7,821.45 is: 11,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.16 : 22,271.31 = 7,821.45 : x
  2. Step 2: Convert to fraction form
    14,843.16/22,271.31 = 7,821.45/x
  3. Step 3: Cross multiply
    14,843.16x = 22,271.31 × 7,821.45
  4. Step 4: Simplify right side
    14,843.16x = 174,193,937.60
  5. Step 5: Solve for x
    x = 174,193,937.60/14,843.16
  6. Step 6: Final answer
    x = 11,735.64

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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.