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Finding the Fourth Proportional to 6,984.80, 10,476.40 and 2,602.40

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Solution

The fourth proportional to 6,984.80, 10,476.40 and 2,602.40 is: 3,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.80 : 10,476.40 = 2,602.40 : x
  2. Step 2: Convert to fraction form
    6,984.80/10,476.40 = 2,602.40/x
  3. Step 3: Cross multiply
    6,984.80x = 10,476.40 × 2,602.40
  4. Step 4: Simplify right side
    6,984.80x = 27,263,783.36
  5. Step 5: Solve for x
    x = 27,263,783.36/6,984.80
  6. Step 6: Final answer
    x = 3,903.30

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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.