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Finding the Fourth Proportional to 12,959.49, 19,475.80 and 7,695.41

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Solution

The fourth proportional to 12,959.49, 19,475.80 and 7,695.41 is: 11,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.49 : 19,475.80 = 7,695.41 : x
  2. Step 2: Convert to fraction form
    12,959.49/19,475.80 = 7,695.41/x
  3. Step 3: Cross multiply
    12,959.49x = 19,475.80 × 7,695.41
  4. Step 4: Simplify right side
    12,959.49x = 149,874,295.53
  5. Step 5: Solve for x
    x = 149,874,295.53/12,959.49
  6. Step 6: Final answer
    x = 11,564.83

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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.