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Finding the Fourth Proportional to 6,465.96, 9,700.56 and 1,848.96

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Solution

The fourth proportional to 6,465.96, 9,700.56 and 1,848.96 is: 2,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.96 : 9,700.56 = 1,848.96 : x
  2. Step 2: Convert to fraction form
    6,465.96/9,700.56 = 1,848.96/x
  3. Step 3: Cross multiply
    6,465.96x = 9,700.56 × 1,848.96
  4. Step 4: Simplify right side
    6,465.96x = 17,935,947.42
  5. Step 5: Solve for x
    x = 17,935,947.42/6,465.96
  6. Step 6: Final answer
    x = 2,773.90

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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.