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Finding the Fourth Proportional to 9,701, 13,384.02 and 5,451.48

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Solution

The fourth proportional to 9,701, 13,384.02 and 5,451.48 is: 7,521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701 : 13,384.02 = 5,451.48 : x
  2. Step 2: Convert to fraction form
    9,701/13,384.02 = 5,451.48/x
  3. Step 3: Cross multiply
    9,701x = 13,384.02 × 5,451.48
  4. Step 4: Simplify right side
    9,701x = 72,962,717.35
  5. Step 5: Solve for x
    x = 72,962,717.35/9,701
  6. Step 6: Final answer
    x = 7,521.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.