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Finding the Fourth Proportional to 11,848.64, 16,337.04 and 7,863.44

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Solution

The fourth proportional to 11,848.64, 16,337.04 and 7,863.44 is: 10,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.64 : 16,337.04 = 7,863.44 : x
  2. Step 2: Convert to fraction form
    11,848.64/16,337.04 = 7,863.44/x
  3. Step 3: Cross multiply
    11,848.64x = 16,337.04 × 7,863.44
  4. Step 4: Simplify right side
    11,848.64x = 128,465,333.82
  5. Step 5: Solve for x
    x = 128,465,333.82/11,848.64
  6. Step 6: Final answer
    x = 10,842.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.