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Finding the Fourth Proportional to 12,004, 16,565.46 and 6,698.50

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Solution

The fourth proportional to 12,004, 16,565.46 and 6,698.50 is: 9,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004 : 16,565.46 = 6,698.50 : x
  2. Step 2: Convert to fraction form
    12,004/16,565.46 = 6,698.50/x
  3. Step 3: Cross multiply
    12,004x = 16,565.46 × 6,698.50
  4. Step 4: Simplify right side
    12,004x = 110,963,733.81
  5. Step 5: Solve for x
    x = 110,963,733.81/12,004
  6. Step 6: Final answer
    x = 9,243.90

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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.