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Finding the Fourth Proportional to 12,007.52, 16,570.30 and 6,702

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Solution

The fourth proportional to 12,007.52, 16,570.30 and 6,702 is: 9,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.52 : 16,570.30 = 6,702 : x
  2. Step 2: Convert to fraction form
    12,007.52/16,570.30 = 6,702/x
  3. Step 3: Cross multiply
    12,007.52x = 16,570.30 × 6,702
  4. Step 4: Simplify right side
    12,007.52x = 111,054,150.60
  5. Step 5: Solve for x
    x = 111,054,150.60/12,007.52
  6. Step 6: Final answer
    x = 9,248.72

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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.