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Finding the Fourth Proportional to 8,974.29, 12,384.95 and 5,437.83

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Solution

The fourth proportional to 8,974.29, 12,384.95 and 5,437.83 is: 7,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.29 : 12,384.95 = 5,437.83 : x
  2. Step 2: Convert to fraction form
    8,974.29/12,384.95 = 5,437.83/x
  3. Step 3: Cross multiply
    8,974.29x = 12,384.95 × 5,437.83
  4. Step 4: Simplify right side
    8,974.29x = 67,347,252.66
  5. Step 5: Solve for x
    x = 67,347,252.66/8,974.29
  6. Step 6: Final answer
    x = 7,504.47

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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.