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Finding the Fourth Proportional to 12,929.34, 19,394.07 and 5,138.17

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Solution

The fourth proportional to 12,929.34, 19,394.07 and 5,138.17 is: 7,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.34 : 19,394.07 = 5,138.17 : x
  2. Step 2: Convert to fraction form
    12,929.34/19,394.07 = 5,138.17/x
  3. Step 3: Cross multiply
    12,929.34x = 19,394.07 × 5,138.17
  4. Step 4: Simplify right side
    12,929.34x = 99,650,028.65
  5. Step 5: Solve for x
    x = 99,650,028.65/12,929.34
  6. Step 6: Final answer
    x = 7,707.28

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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.