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Finding the Fourth Proportional to 9,309.76, 13,964.62 and 2,384.24

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Solution

The fourth proportional to 9,309.76, 13,964.62 and 2,384.24 is: 3,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.76 : 13,964.62 = 2,384.24 : x
  2. Step 2: Convert to fraction form
    9,309.76/13,964.62 = 2,384.24/x
  3. Step 3: Cross multiply
    9,309.76x = 13,964.62 × 2,384.24
  4. Step 4: Simplify right side
    9,309.76x = 33,295,005.59
  5. Step 5: Solve for x
    x = 33,295,005.59/9,309.76
  6. Step 6: Final answer
    x = 3,576.35

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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.