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Finding the Fourth Proportional to 6,453.04, 9,679.64 and 1,836.08

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Solution

The fourth proportional to 6,453.04, 9,679.64 and 1,836.08 is: 2,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.04 : 9,679.64 = 1,836.08 : x
  2. Step 2: Convert to fraction form
    6,453.04/9,679.64 = 1,836.08/x
  3. Step 3: Cross multiply
    6,453.04x = 9,679.64 × 1,836.08
  4. Step 4: Simplify right side
    6,453.04x = 17,772,593.41
  5. Step 5: Solve for x
    x = 17,772,593.41/6,453.04
  6. Step 6: Final answer
    x = 2,754.14

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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.