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Finding the Fourth Proportional to 6,300.24, 9,445.44 and 2,603.40

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Solution

The fourth proportional to 6,300.24, 9,445.44 and 2,603.40 is: 3,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.24 : 9,445.44 = 2,603.40 : x
  2. Step 2: Convert to fraction form
    6,300.24/9,445.44 = 2,603.40/x
  3. Step 3: Cross multiply
    6,300.24x = 9,445.44 × 2,603.40
  4. Step 4: Simplify right side
    6,300.24x = 24,590,258.50
  5. Step 5: Solve for x
    x = 24,590,258.50/6,300.24
  6. Step 6: Final answer
    x = 3,903.07

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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.