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Finding the Fourth Proportional to 14,841.42, 22,262.22 and 6,076.32

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Solution

The fourth proportional to 14,841.42, 22,262.22 and 6,076.32 is: 9,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841.42 : 22,262.22 = 6,076.32 : x
  2. Step 2: Convert to fraction form
    14,841.42/22,262.22 = 6,076.32/x
  3. Step 3: Cross multiply
    14,841.42x = 22,262.22 × 6,076.32
  4. Step 4: Simplify right side
    14,841.42x = 135,272,372.63
  5. Step 5: Solve for x
    x = 135,272,372.63/14,841.42
  6. Step 6: Final answer
    x = 9,114.52

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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.