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Finding the Fourth Proportional to 13,838.76, 19,097.37 and 7,551

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Solution

The fourth proportional to 13,838.76, 19,097.37 and 7,551 is: 10,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.76 : 19,097.37 = 7,551 : x
  2. Step 2: Convert to fraction form
    13,838.76/19,097.37 = 7,551/x
  3. Step 3: Cross multiply
    13,838.76x = 19,097.37 × 7,551
  4. Step 4: Simplify right side
    13,838.76x = 144,204,240.87
  5. Step 5: Solve for x
    x = 144,204,240.87/13,838.76
  6. Step 6: Final answer
    x = 10,420.32

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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.