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Finding the Fourth Proportional to 12,085.61, 16,678.07 and 6,780.42

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Solution

The fourth proportional to 12,085.61, 16,678.07 and 6,780.42 is: 9,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.61 : 16,678.07 = 6,780.42 : x
  2. Step 2: Convert to fraction form
    12,085.61/16,678.07 = 6,780.42/x
  3. Step 3: Cross multiply
    12,085.61x = 16,678.07 × 6,780.42
  4. Step 4: Simplify right side
    12,085.61x = 113,084,285.49
  5. Step 5: Solve for x
    x = 113,084,285.49/12,085.61
  6. Step 6: Final answer
    x = 9,356.94

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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.