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Finding the Fourth Proportional to 11,281, 15,567.80 and 6,568.44

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Solution

The fourth proportional to 11,281, 15,567.80 and 6,568.44 is: 9,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281 : 15,567.80 = 6,568.44 : x
  2. Step 2: Convert to fraction form
    11,281/15,567.80 = 6,568.44/x
  3. Step 3: Cross multiply
    11,281x = 15,567.80 × 6,568.44
  4. Step 4: Simplify right side
    11,281x = 102,256,160.23
  5. Step 5: Solve for x
    x = 102,256,160.23/11,281
  6. Step 6: Final answer
    x = 9,064.46

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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.