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Finding the Fourth Proportional to 27,931.65, 41,896.41 and 6,871.76

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Solution

The fourth proportional to 27,931.65, 41,896.41 and 6,871.76 is: 10,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.65 : 41,896.41 = 6,871.76 : x
  2. Step 2: Convert to fraction form
    27,931.65/41,896.41 = 6,871.76/x
  3. Step 3: Cross multiply
    27,931.65x = 41,896.41 × 6,871.76
  4. Step 4: Simplify right side
    27,931.65x = 287,902,074.38
  5. Step 5: Solve for x
    x = 287,902,074.38/27,931.65
  6. Step 6: Final answer
    x = 10,307.38

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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.