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Finding the Fourth Proportional to 6,886.04, 9,491.74 and 5,274.68

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Solution

The fourth proportional to 6,886.04, 9,491.74 and 5,274.68 is: 7,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.04 : 9,491.74 = 5,274.68 : x
  2. Step 2: Convert to fraction form
    6,886.04/9,491.74 = 5,274.68/x
  3. Step 3: Cross multiply
    6,886.04x = 9,491.74 × 5,274.68
  4. Step 4: Simplify right side
    6,886.04x = 50,065,891.14
  5. Step 5: Solve for x
    x = 50,065,891.14/6,886.04
  6. Step 6: Final answer
    x = 7,270.64

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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.