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Finding the Fourth Proportional to 13,785.90, 19,024.70 and 7,737.48

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Solution

The fourth proportional to 13,785.90, 19,024.70 and 7,737.48 is: 10,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.90 : 19,024.70 = 7,737.48 : x
  2. Step 2: Convert to fraction form
    13,785.90/19,024.70 = 7,737.48/x
  3. Step 3: Cross multiply
    13,785.90x = 19,024.70 × 7,737.48
  4. Step 4: Simplify right side
    13,785.90x = 147,203,197.07
  5. Step 5: Solve for x
    x = 147,203,197.07/13,785.90
  6. Step 6: Final answer
    x = 10,677.81

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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.