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Finding the Fourth Proportional to 6,355.84, 9,535.16 and 1,973.74

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Solution

The fourth proportional to 6,355.84, 9,535.16 and 1,973.74 is: 2,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.84 : 9,535.16 = 1,973.74 : x
  2. Step 2: Convert to fraction form
    6,355.84/9,535.16 = 1,973.74/x
  3. Step 3: Cross multiply
    6,355.84x = 9,535.16 × 1,973.74
  4. Step 4: Simplify right side
    6,355.84x = 18,819,926.70
  5. Step 5: Solve for x
    x = 18,819,926.70/6,355.84
  6. Step 6: Final answer
    x = 2,961.04

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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.