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Finding the Fourth Proportional to 6,591.04, 9,885.00 and 1,909.81

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Solution

The fourth proportional to 6,591.04, 9,885.00 and 1,909.81 is: 2,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.04 : 9,885.00 = 1,909.81 : x
  2. Step 2: Convert to fraction form
    6,591.04/9,885.00 = 1,909.81/x
  3. Step 3: Cross multiply
    6,591.04x = 9,885.00 × 1,909.81
  4. Step 4: Simplify right side
    6,591.04x = 18,878,491.37
  5. Step 5: Solve for x
    x = 18,878,491.37/6,591.04
  6. Step 6: Final answer
    x = 2,864.27

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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.