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Finding the Fourth Proportional to 5,966.76, 8,950.14 and 2,071.20

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Solution

The fourth proportional to 5,966.76, 8,950.14 and 2,071.20 is: 3,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.76 : 8,950.14 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    5,966.76/8,950.14 = 2,071.20/x
  3. Step 3: Cross multiply
    5,966.76x = 8,950.14 × 2,071.20
  4. Step 4: Simplify right side
    5,966.76x = 18,537,529.97
  5. Step 5: Solve for x
    x = 18,537,529.97/5,966.76
  6. Step 6: Final answer
    x = 3,106.80

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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.