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Finding the Fourth Proportional to 12,178.69, 16,806.59 and 6,589.69

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Solution

The fourth proportional to 12,178.69, 16,806.59 and 6,589.69 is: 9,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.69 : 16,806.59 = 6,589.69 : x
  2. Step 2: Convert to fraction form
    12,178.69/16,806.59 = 6,589.69/x
  3. Step 3: Cross multiply
    12,178.69x = 16,806.59 × 6,589.69
  4. Step 4: Simplify right side
    12,178.69x = 110,750,192.51
  5. Step 5: Solve for x
    x = 110,750,192.51/12,178.69
  6. Step 6: Final answer
    x = 9,093.77

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Half scale
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Double scale
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1.5x scale

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.