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Finding the Fourth Proportional to 10,329, 15,496.06 and 3,033

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Solution

The fourth proportional to 10,329, 15,496.06 and 3,033 is: 4,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329 : 15,496.06 = 3,033 : x
  2. Step 2: Convert to fraction form
    10,329/15,496.06 = 3,033/x
  3. Step 3: Cross multiply
    10,329x = 15,496.06 × 3,033
  4. Step 4: Simplify right side
    10,329x = 46,999,549.98
  5. Step 5: Solve for x
    x = 46,999,549.98/10,329
  6. Step 6: Final answer
    x = 4,550.25

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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.