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Finding the Fourth Proportional to 6,984.08, 10,476.12 and 2,053.76

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Solution

The fourth proportional to 6,984.08, 10,476.12 and 2,053.76 is: 3,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.08 : 10,476.12 = 2,053.76 : x
  2. Step 2: Convert to fraction form
    6,984.08/10,476.12 = 2,053.76/x
  3. Step 3: Cross multiply
    6,984.08x = 10,476.12 × 2,053.76
  4. Step 4: Simplify right side
    6,984.08x = 21,515,466.25
  5. Step 5: Solve for x
    x = 21,515,466.25/6,984.08
  6. Step 6: Final answer
    x = 3,080.64

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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.