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Finding the Fourth Proportional to 6,397.84, 9,597.84 and 2,935

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Solution

The fourth proportional to 6,397.84, 9,597.84 and 2,935 is: 4,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.84 : 9,597.84 = 2,935 : x
  2. Step 2: Convert to fraction form
    6,397.84/9,597.84 = 2,935/x
  3. Step 3: Cross multiply
    6,397.84x = 9,597.84 × 2,935
  4. Step 4: Simplify right side
    6,397.84x = 28,169,660.40
  5. Step 5: Solve for x
    x = 28,169,660.40/6,397.84
  6. Step 6: Final answer
    x = 4,403.00

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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.