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Finding the Fourth Proportional to 10,656.51, 14,706 and 5,940.69

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Solution

The fourth proportional to 10,656.51, 14,706 and 5,940.69 is: 8,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.51 : 14,706 = 5,940.69 : x
  2. Step 2: Convert to fraction form
    10,656.51/14,706 = 5,940.69/x
  3. Step 3: Cross multiply
    10,656.51x = 14,706 × 5,940.69
  4. Step 4: Simplify right side
    10,656.51x = 87,363,787.14
  5. Step 5: Solve for x
    x = 87,363,787.14/10,656.51
  6. Step 6: Final answer
    x = 8,198.16

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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.