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Finding the Fourth Proportional to 12,802.74, 19,204.09 and 5,006.09

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Solution

The fourth proportional to 12,802.74, 19,204.09 and 5,006.09 is: 7,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.74 : 19,204.09 = 5,006.09 : x
  2. Step 2: Convert to fraction form
    12,802.74/19,204.09 = 5,006.09/x
  3. Step 3: Cross multiply
    12,802.74x = 19,204.09 × 5,006.09
  4. Step 4: Simplify right side
    12,802.74x = 96,137,294.37
  5. Step 5: Solve for x
    x = 96,137,294.37/12,802.74
  6. Step 6: Final answer
    x = 7,509.12

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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.