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Finding the Fourth Proportional to 12,959.94, 19,459.35 and 7,419.54

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Solution

The fourth proportional to 12,959.94, 19,459.35 and 7,419.54 is: 11,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.94 : 19,459.35 = 7,419.54 : x
  2. Step 2: Convert to fraction form
    12,959.94/19,459.35 = 7,419.54/x
  3. Step 3: Cross multiply
    12,959.94x = 19,459.35 × 7,419.54
  4. Step 4: Simplify right side
    12,959.94x = 144,379,425.70
  5. Step 5: Solve for x
    x = 144,379,425.70/12,959.94
  6. Step 6: Final answer
    x = 11,140.44

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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.