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Finding the Fourth Proportional to 9,873.90, 14,794.45 and 6,946.05

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Solution

The fourth proportional to 9,873.90, 14,794.45 and 6,946.05 is: 10,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.90 : 14,794.45 = 6,946.05 : x
  2. Step 2: Convert to fraction form
    9,873.90/14,794.45 = 6,946.05/x
  3. Step 3: Cross multiply
    9,873.90x = 14,794.45 × 6,946.05
  4. Step 4: Simplify right side
    9,873.90x = 102,763,027.54
  5. Step 5: Solve for x
    x = 102,763,027.54/9,873.90
  6. Step 6: Final answer
    x = 10,407.54

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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.