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Finding the Fourth Proportional to 11,637.94, 16,062 and 6,603.40

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Solution

The fourth proportional to 11,637.94, 16,062 and 6,603.40 is: 9,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.94 : 16,062 = 6,603.40 : x
  2. Step 2: Convert to fraction form
    11,637.94/16,062 = 6,603.40/x
  3. Step 3: Cross multiply
    11,637.94x = 16,062 × 6,603.40
  4. Step 4: Simplify right side
    11,637.94x = 106,063,810.80
  5. Step 5: Solve for x
    x = 106,063,810.80/11,637.94
  6. Step 6: Final answer
    x = 9,113.62

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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.