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Finding the Fourth Proportional to 6,503.04, 8,973.60 and 3,984

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Solution

The fourth proportional to 6,503.04, 8,973.60 and 3,984 is: 5,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.04 : 8,973.60 = 3,984 : x
  2. Step 2: Convert to fraction form
    6,503.04/8,973.60 = 3,984/x
  3. Step 3: Cross multiply
    6,503.04x = 8,973.60 × 3,984
  4. Step 4: Simplify right side
    6,503.04x = 35,750,822.40
  5. Step 5: Solve for x
    x = 35,750,822.40/6,503.04
  6. Step 6: Final answer
    x = 5,497.56

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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.