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Finding the Fourth Proportional to 38,670, 58,005 and 9,486

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Solution

The fourth proportional to 38,670, 58,005 and 9,486 is: 14,229

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,670 : 58,005 = 9,486 : x
  2. Step 2: Convert to fraction form
    38,670/58,005 = 9,486/x
  3. Step 3: Cross multiply
    38,670x = 58,005 × 9,486
  4. Step 4: Simplify right side
    38,670x = 550,235,430
  5. Step 5: Solve for x
    x = 550,235,430/38,670
  6. Step 6: Final answer
    x = 14,229

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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.