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Finding the Fourth Proportional to 6,595.86, 9,891 and 3,473.91

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Solution

The fourth proportional to 6,595.86, 9,891 and 3,473.91 is: 5,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.86 : 9,891 = 3,473.91 : x
  2. Step 2: Convert to fraction form
    6,595.86/9,891 = 3,473.91/x
  3. Step 3: Cross multiply
    6,595.86x = 9,891 × 3,473.91
  4. Step 4: Simplify right side
    6,595.86x = 34,360,443.81
  5. Step 5: Solve for x
    x = 34,360,443.81/6,595.86
  6. Step 6: Final answer
    x = 5,209.40

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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.