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Finding the Fourth Proportional to 27,701.82, 41,547.74 and 7,975.53

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Solution

The fourth proportional to 27,701.82, 41,547.74 and 7,975.53 is: 11,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701.82 : 41,547.74 = 7,975.53 : x
  2. Step 2: Convert to fraction form
    27,701.82/41,547.74 = 7,975.53/x
  3. Step 3: Cross multiply
    27,701.82x = 41,547.74 × 7,975.53
  4. Step 4: Simplify right side
    27,701.82x = 331,365,206.92
  5. Step 5: Solve for x
    x = 331,365,206.92/27,701.82
  6. Step 6: Final answer
    x = 11,961.86

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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.