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Finding the Fourth Proportional to 14,092.10, 19,447.09 and 7,804.47

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Solution

The fourth proportional to 14,092.10, 19,447.09 and 7,804.47 is: 10,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.10 : 19,447.09 = 7,804.47 : x
  2. Step 2: Convert to fraction form
    14,092.10/19,447.09 = 7,804.47/x
  3. Step 3: Cross multiply
    14,092.10x = 19,447.09 × 7,804.47
  4. Step 4: Simplify right side
    14,092.10x = 151,774,230.49
  5. Step 5: Solve for x
    x = 151,774,230.49/14,092.10
  6. Step 6: Final answer
    x = 10,770.16

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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.