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Finding the Fourth Proportional to 27,454.80, 41,182.08 and 6,678.40

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Solution

The fourth proportional to 27,454.80, 41,182.08 and 6,678.40 is: 10,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454.80 : 41,182.08 = 6,678.40 : x
  2. Step 2: Convert to fraction form
    27,454.80/41,182.08 = 6,678.40/x
  3. Step 3: Cross multiply
    27,454.80x = 41,182.08 × 6,678.40
  4. Step 4: Simplify right side
    27,454.80x = 275,030,403.07
  5. Step 5: Solve for x
    x = 275,030,403.07/27,454.80
  6. Step 6: Final answer
    x = 10,017.57

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1.5x scale

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.