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Finding the Fourth Proportional to 12,992.65, 17,929.78 and 7,024.30

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Solution

The fourth proportional to 12,992.65, 17,929.78 and 7,024.30 is: 9,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.65 : 17,929.78 = 7,024.30 : x
  2. Step 2: Convert to fraction form
    12,992.65/17,929.78 = 7,024.30/x
  3. Step 3: Cross multiply
    12,992.65x = 17,929.78 × 7,024.30
  4. Step 4: Simplify right side
    12,992.65x = 125,944,153.65
  5. Step 5: Solve for x
    x = 125,944,153.65/12,992.65
  6. Step 6: Final answer
    x = 9,693.49

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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.