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Finding the Fourth Proportional to 6,513.01, 9,771.10 and 2,130.50

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Solution

The fourth proportional to 6,513.01, 9,771.10 and 2,130.50 is: 3,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.01 : 9,771.10 = 2,130.50 : x
  2. Step 2: Convert to fraction form
    6,513.01/9,771.10 = 2,130.50/x
  3. Step 3: Cross multiply
    6,513.01x = 9,771.10 × 2,130.50
  4. Step 4: Simplify right side
    6,513.01x = 20,817,347.65
  5. Step 5: Solve for x
    x = 20,817,347.65/6,513.01
  6. Step 6: Final answer
    x = 3,196.27

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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.