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Finding the Fourth Proportional to 7,966.76, 11,915.16 and 7,095.40

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Solution

The fourth proportional to 7,966.76, 11,915.16 and 7,095.40 is: 10,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.76 : 11,915.16 = 7,095.40 : x
  2. Step 2: Convert to fraction form
    7,966.76/11,915.16 = 7,095.40/x
  3. Step 3: Cross multiply
    7,966.76x = 11,915.16 × 7,095.40
  4. Step 4: Simplify right side
    7,966.76x = 84,542,826.26
  5. Step 5: Solve for x
    x = 84,542,826.26/7,966.76
  6. Step 6: Final answer
    x = 10,611.95

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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.