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Finding the Fourth Proportional to 10,083.19, 15,124.78 and 4,802.19

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Solution

The fourth proportional to 10,083.19, 15,124.78 and 4,802.19 is: 7,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.19 : 15,124.78 = 4,802.19 : x
  2. Step 2: Convert to fraction form
    10,083.19/15,124.78 = 4,802.19/x
  3. Step 3: Cross multiply
    10,083.19x = 15,124.78 × 4,802.19
  4. Step 4: Simplify right side
    10,083.19x = 72,632,073.27
  5. Step 5: Solve for x
    x = 72,632,073.27/10,083.19
  6. Step 6: Final answer
    x = 7,203.29

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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.