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Finding the Fourth Proportional to 6,859.44, 10,290.06 and 3,161.16

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Solution

The fourth proportional to 6,859.44, 10,290.06 and 3,161.16 is: 4,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.44 : 10,290.06 = 3,161.16 : x
  2. Step 2: Convert to fraction form
    6,859.44/10,290.06 = 3,161.16/x
  3. Step 3: Cross multiply
    6,859.44x = 10,290.06 × 3,161.16
  4. Step 4: Simplify right side
    6,859.44x = 32,528,526.07
  5. Step 5: Solve for x
    x = 32,528,526.07/6,859.44
  6. Step 6: Final answer
    x = 4,742.15

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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.