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Finding the Fourth Proportional to 6,981.03, 10,466.06 and 2,596.10

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Solution

The fourth proportional to 6,981.03, 10,466.06 and 2,596.10 is: 3,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.03 : 10,466.06 = 2,596.10 : x
  2. Step 2: Convert to fraction form
    6,981.03/10,466.06 = 2,596.10/x
  3. Step 3: Cross multiply
    6,981.03x = 10,466.06 × 2,596.10
  4. Step 4: Simplify right side
    6,981.03x = 27,170,873.06
  5. Step 5: Solve for x
    x = 27,170,873.06/6,981.03
  6. Step 6: Final answer
    x = 3,892.10

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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.