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Finding the Fourth Proportional to 10,071.74, 13,904.06 and 6,297.01

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Solution

The fourth proportional to 10,071.74, 13,904.06 and 6,297.01 is: 8,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.74 : 13,904.06 = 6,297.01 : x
  2. Step 2: Convert to fraction form
    10,071.74/13,904.06 = 6,297.01/x
  3. Step 3: Cross multiply
    10,071.74x = 13,904.06 × 6,297.01
  4. Step 4: Simplify right side
    10,071.74x = 87,553,938.62
  5. Step 5: Solve for x
    x = 87,553,938.62/10,071.74
  6. Step 6: Final answer
    x = 8,693.03

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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.