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Finding the Fourth Proportional to 6,603.40, 9,898.93 and 3,312.64

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Solution

The fourth proportional to 6,603.40, 9,898.93 and 3,312.64 is: 4,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.40 : 9,898.93 = 3,312.64 : x
  2. Step 2: Convert to fraction form
    6,603.40/9,898.93 = 3,312.64/x
  3. Step 3: Cross multiply
    6,603.40x = 9,898.93 × 3,312.64
  4. Step 4: Simplify right side
    6,603.40x = 32,791,591.48
  5. Step 5: Solve for x
    x = 32,791,591.48/6,603.40
  6. Step 6: Final answer
    x = 4,965.86

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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.