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Finding the Fourth Proportional to 10,093.68, 15,148.36 and 6,995.38

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Solution

The fourth proportional to 10,093.68, 15,148.36 and 6,995.38 is: 10,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.68 : 15,148.36 = 6,995.38 : x
  2. Step 2: Convert to fraction form
    10,093.68/15,148.36 = 6,995.38/x
  3. Step 3: Cross multiply
    10,093.68x = 15,148.36 × 6,995.38
  4. Step 4: Simplify right side
    10,093.68x = 105,968,534.58
  5. Step 5: Solve for x
    x = 105,968,534.58/10,093.68
  6. Step 6: Final answer
    x = 10,498.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.