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Finding the Fourth Proportional to 8,070.94, 12,106.47 and 2,227.42

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Solution

The fourth proportional to 8,070.94, 12,106.47 and 2,227.42 is: 3,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.94 : 12,106.47 = 2,227.42 : x
  2. Step 2: Convert to fraction form
    8,070.94/12,106.47 = 2,227.42/x
  3. Step 3: Cross multiply
    8,070.94x = 12,106.47 × 2,227.42
  4. Step 4: Simplify right side
    8,070.94x = 26,966,193.41
  5. Step 5: Solve for x
    x = 26,966,193.41/8,070.94
  6. Step 6: Final answer
    x = 3,341.15

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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.