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Finding the Fourth Proportional to 10,369.54, 14,310.12 and 5,653.90

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Solution

The fourth proportional to 10,369.54, 14,310.12 and 5,653.90 is: 7,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.54 : 14,310.12 = 5,653.90 : x
  2. Step 2: Convert to fraction form
    10,369.54/14,310.12 = 5,653.90/x
  3. Step 3: Cross multiply
    10,369.54x = 14,310.12 × 5,653.90
  4. Step 4: Simplify right side
    10,369.54x = 80,907,987.47
  5. Step 5: Solve for x
    x = 80,907,987.47/10,369.54
  6. Step 6: Final answer
    x = 7,802.47

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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.