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Finding the Fourth Proportional to 11,470, 15,833.46 and 6,995.36

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Solution

The fourth proportional to 11,470, 15,833.46 and 6,995.36 is: 9,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470 : 15,833.46 = 6,995.36 : x
  2. Step 2: Convert to fraction form
    11,470/15,833.46 = 6,995.36/x
  3. Step 3: Cross multiply
    11,470x = 15,833.46 × 6,995.36
  4. Step 4: Simplify right side
    11,470x = 110,760,638.60
  5. Step 5: Solve for x
    x = 110,760,638.60/11,470
  6. Step 6: Final answer
    x = 9,656.55

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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.