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Finding the Fourth Proportional to 5,966.76, 8,237.22 and 5,574.12

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Solution

The fourth proportional to 5,966.76, 8,237.22 and 5,574.12 is: 7,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.76 : 8,237.22 = 5,574.12 : x
  2. Step 2: Convert to fraction form
    5,966.76/8,237.22 = 5,574.12/x
  3. Step 3: Cross multiply
    5,966.76x = 8,237.22 × 5,574.12
  4. Step 4: Simplify right side
    5,966.76x = 45,915,252.75
  5. Step 5: Solve for x
    x = 45,915,252.75/5,966.76
  6. Step 6: Final answer
    x = 7,695.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.