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Finding the Fourth Proportional to 6,646.42, 9,973.95 and 3,363.22

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Solution

The fourth proportional to 6,646.42, 9,973.95 and 3,363.22 is: 5,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.42 : 9,973.95 = 3,363.22 : x
  2. Step 2: Convert to fraction form
    6,646.42/9,973.95 = 3,363.22/x
  3. Step 3: Cross multiply
    6,646.42x = 9,973.95 × 3,363.22
  4. Step 4: Simplify right side
    6,646.42x = 33,544,588.12
  5. Step 5: Solve for x
    x = 33,544,588.12/6,646.42
  6. Step 6: Final answer
    x = 5,047.02

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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.