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Finding the Fourth Proportional to 4,959.66, 6,842.16 and 2,969.22

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Solution

The fourth proportional to 4,959.66, 6,842.16 and 2,969.22 is: 4,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.66 : 6,842.16 = 2,969.22 : x
  2. Step 2: Convert to fraction form
    4,959.66/6,842.16 = 2,969.22/x
  3. Step 3: Cross multiply
    4,959.66x = 6,842.16 × 2,969.22
  4. Step 4: Simplify right side
    4,959.66x = 20,315,878.32
  5. Step 5: Solve for x
    x = 20,315,878.32/4,959.66
  6. Step 6: Final answer
    x = 4,096.22

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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.