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Finding the Fourth Proportional to 27,902.41, 41,852.72 and 6,842.50

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Solution

The fourth proportional to 27,902.41, 41,852.72 and 6,842.50 is: 10,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.41 : 41,852.72 = 6,842.50 : x
  2. Step 2: Convert to fraction form
    27,902.41/41,852.72 = 6,842.50/x
  3. Step 3: Cross multiply
    27,902.41x = 41,852.72 × 6,842.50
  4. Step 4: Simplify right side
    27,902.41x = 286,377,149.07
  5. Step 5: Solve for x
    x = 286,377,149.07/27,902.41
  6. Step 6: Final answer
    x = 10,263.53

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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.