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Finding the Fourth Proportional to 12,094.38, 16,690.32 and 6,788.88

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Solution

The fourth proportional to 12,094.38, 16,690.32 and 6,788.88 is: 9,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.38 : 16,690.32 = 6,788.88 : x
  2. Step 2: Convert to fraction form
    12,094.38/16,690.32 = 6,788.88/x
  3. Step 3: Cross multiply
    12,094.38x = 16,690.32 × 6,788.88
  4. Step 4: Simplify right side
    12,094.38x = 113,308,579.64
  5. Step 5: Solve for x
    x = 113,308,579.64/12,094.38
  6. Step 6: Final answer
    x = 9,368.70

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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.