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Finding the Fourth Proportional to 13,752, 18,977.78 and 7,464.38

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Solution

The fourth proportional to 13,752, 18,977.78 and 7,464.38 is: 10,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752 : 18,977.78 = 7,464.38 : x
  2. Step 2: Convert to fraction form
    13,752/18,977.78 = 7,464.38/x
  3. Step 3: Cross multiply
    13,752x = 18,977.78 × 7,464.38
  4. Step 4: Simplify right side
    13,752x = 141,657,285.25
  5. Step 5: Solve for x
    x = 141,657,285.25/13,752
  6. Step 6: Final answer
    x = 10,300.85

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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.