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Finding the Fourth Proportional to 6,296.05, 9,444.03 and 1,913.50

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Solution

The fourth proportional to 6,296.05, 9,444.03 and 1,913.50 is: 2,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.05 : 9,444.03 = 1,913.50 : x
  2. Step 2: Convert to fraction form
    6,296.05/9,444.03 = 1,913.50/x
  3. Step 3: Cross multiply
    6,296.05x = 9,444.03 × 1,913.50
  4. Step 4: Simplify right side
    6,296.05x = 18,071,151.41
  5. Step 5: Solve for x
    x = 18,071,151.41/6,296.05
  6. Step 6: Final answer
    x = 2,870.24

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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.