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Finding the Fourth Proportional to 7,597.64, 11,396.46 and 3,701

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Solution

The fourth proportional to 7,597.64, 11,396.46 and 3,701 is: 5,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.64 : 11,396.46 = 3,701 : x
  2. Step 2: Convert to fraction form
    7,597.64/11,396.46 = 3,701/x
  3. Step 3: Cross multiply
    7,597.64x = 11,396.46 × 3,701
  4. Step 4: Simplify right side
    7,597.64x = 42,178,298.46
  5. Step 5: Solve for x
    x = 42,178,298.46/7,597.64
  6. Step 6: Final answer
    x = 5,551.50

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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.