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Finding the Fourth Proportional to 10,033, 13,848.78 and 6,307

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Solution

The fourth proportional to 10,033, 13,848.78 and 6,307 is: 8,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033 : 13,848.78 = 6,307 : x
  2. Step 2: Convert to fraction form
    10,033/13,848.78 = 6,307/x
  3. Step 3: Cross multiply
    10,033x = 13,848.78 × 6,307
  4. Step 4: Simplify right side
    10,033x = 87,344,255.46
  5. Step 5: Solve for x
    x = 87,344,255.46/10,033
  6. Step 6: Final answer
    x = 8,705.70

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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.