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Finding the Fourth Proportional to 13,208.40, 18,227.94 and 7,465.40

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Solution

The fourth proportional to 13,208.40, 18,227.94 and 7,465.40 is: 10,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.40 : 18,227.94 = 7,465.40 : x
  2. Step 2: Convert to fraction form
    13,208.40/18,227.94 = 7,465.40/x
  3. Step 3: Cross multiply
    13,208.40x = 18,227.94 × 7,465.40
  4. Step 4: Simplify right side
    13,208.40x = 136,078,863.28
  5. Step 5: Solve for x
    x = 136,078,863.28/13,208.40
  6. Step 6: Final answer
    x = 10,302.45

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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.