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Finding the Fourth Proportional to 13,951.77, 19,254.39 and 7,664.21

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Solution

The fourth proportional to 13,951.77, 19,254.39 and 7,664.21 is: 10,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.77 : 19,254.39 = 7,664.21 : x
  2. Step 2: Convert to fraction form
    13,951.77/19,254.39 = 7,664.21/x
  3. Step 3: Cross multiply
    13,951.77x = 19,254.39 × 7,664.21
  4. Step 4: Simplify right side
    13,951.77x = 147,569,650.06
  5. Step 5: Solve for x
    x = 147,569,650.06/13,951.77
  6. Step 6: Final answer
    x = 10,577.13

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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.