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Finding the Fourth Proportional to 5,966.29, 8,950.91 and 4,214.73

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Solution

The fourth proportional to 5,966.29, 8,950.91 and 4,214.73 is: 6,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.29 : 8,950.91 = 4,214.73 : x
  2. Step 2: Convert to fraction form
    5,966.29/8,950.91 = 4,214.73/x
  3. Step 3: Cross multiply
    5,966.29x = 8,950.91 × 4,214.73
  4. Step 4: Simplify right side
    5,966.29x = 37,725,681.40
  5. Step 5: Solve for x
    x = 37,725,681.40/5,966.29
  6. Step 6: Final answer
    x = 6,323.14

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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.