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Finding the Fourth Proportional to 14,033.40, 19,365.42 and 7,745.40

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Solution

The fourth proportional to 14,033.40, 19,365.42 and 7,745.40 is: 10,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.40 : 19,365.42 = 7,745.40 : x
  2. Step 2: Convert to fraction form
    14,033.40/19,365.42 = 7,745.40/x
  3. Step 3: Cross multiply
    14,033.40x = 19,365.42 × 7,745.40
  4. Step 4: Simplify right side
    14,033.40x = 149,992,924.07
  5. Step 5: Solve for x
    x = 149,992,924.07/14,033.40
  6. Step 6: Final answer
    x = 10,688.28

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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.