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Finding the Fourth Proportional to 9,859.72, 14,791.76 and 3,285.76

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Solution

The fourth proportional to 9,859.72, 14,791.76 and 3,285.76 is: 4,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.72 : 14,791.76 = 3,285.76 : x
  2. Step 2: Convert to fraction form
    9,859.72/14,791.76 = 3,285.76/x
  3. Step 3: Cross multiply
    9,859.72x = 14,791.76 × 3,285.76
  4. Step 4: Simplify right side
    9,859.72x = 48,602,173.34
  5. Step 5: Solve for x
    x = 48,602,173.34/9,859.72
  6. Step 6: Final answer
    x = 4,929.37

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1.5x scale

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.