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Finding the Fourth Proportional to 6,984, 10,477.08 and 2,602.08

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Solution

The fourth proportional to 6,984, 10,477.08 and 2,602.08 is: 3,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 10,477.08 = 2,602.08 : x
  2. Step 2: Convert to fraction form
    6,984/10,477.08 = 2,602.08/x
  3. Step 3: Cross multiply
    6,984x = 10,477.08 × 2,602.08
  4. Step 4: Simplify right side
    6,984x = 27,262,200.33
  5. Step 5: Solve for x
    x = 27,262,200.33/6,984
  6. Step 6: Final answer
    x = 3,903.52

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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.