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Finding the Fourth Proportional to 9,780, 14,670.24 and 2,484

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Solution

The fourth proportional to 9,780, 14,670.24 and 2,484 is: 3,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780 : 14,670.24 = 2,484 : x
  2. Step 2: Convert to fraction form
    9,780/14,670.24 = 2,484/x
  3. Step 3: Cross multiply
    9,780x = 14,670.24 × 2,484
  4. Step 4: Simplify right side
    9,780x = 36,440,876.16
  5. Step 5: Solve for x
    x = 36,440,876.16/9,780
  6. Step 6: Final answer
    x = 3,726.06

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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.