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Finding the Fourth Proportional to 38,827, 58,240.50 and 9,643

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Solution

The fourth proportional to 38,827, 58,240.50 and 9,643 is: 14,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,827 : 58,240.50 = 9,643 : x
  2. Step 2: Convert to fraction form
    38,827/58,240.50 = 9,643/x
  3. Step 3: Cross multiply
    38,827x = 58,240.50 × 9,643
  4. Step 4: Simplify right side
    38,827x = 561,613,141.50
  5. Step 5: Solve for x
    x = 561,613,141.50/38,827
  6. Step 6: Final answer
    x = 14,464.50

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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.