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Finding the Fourth Proportional to 6,363.64, 9,530.88 and 6,004

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Solution

The fourth proportional to 6,363.64, 9,530.88 and 6,004 is: 8,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.64 : 9,530.88 = 6,004 : x
  2. Step 2: Convert to fraction form
    6,363.64/9,530.88 = 6,004/x
  3. Step 3: Cross multiply
    6,363.64x = 9,530.88 × 6,004
  4. Step 4: Simplify right side
    6,363.64x = 57,223,403.52
  5. Step 5: Solve for x
    x = 57,223,403.52/6,363.64
  6. Step 6: Final answer
    x = 8,992.24

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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.