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Finding the Fourth Proportional to 13,700.93, 20,545 and 4,934.70

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Solution

The fourth proportional to 13,700.93, 20,545 and 4,934.70 is: 7,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.93 : 20,545 = 4,934.70 : x
  2. Step 2: Convert to fraction form
    13,700.93/20,545 = 4,934.70/x
  3. Step 3: Cross multiply
    13,700.93x = 20,545 × 4,934.70
  4. Step 4: Simplify right side
    13,700.93x = 101,383,411.50
  5. Step 5: Solve for x
    x = 101,383,411.50/13,700.93
  6. Step 6: Final answer
    x = 7,399.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.