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Finding the Fourth Proportional to 27,607.70, 41,411.91 and 7,886.90

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Solution

The fourth proportional to 27,607.70, 41,411.91 and 7,886.90 is: 11,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.70 : 41,411.91 = 7,886.90 : x
  2. Step 2: Convert to fraction form
    27,607.70/41,411.91 = 7,886.90/x
  3. Step 3: Cross multiply
    27,607.70x = 41,411.91 × 7,886.90
  4. Step 4: Simplify right side
    27,607.70x = 326,611,592.98
  5. Step 5: Solve for x
    x = 326,611,592.98/27,607.70
  6. Step 6: Final answer
    x = 11,830.45

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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.