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Finding the Fourth Proportional to 8,513.95, 11,741.00 and 5,681.44

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Solution

The fourth proportional to 8,513.95, 11,741.00 and 5,681.44 is: 7,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.95 : 11,741.00 = 5,681.44 : x
  2. Step 2: Convert to fraction form
    8,513.95/11,741.00 = 5,681.44/x
  3. Step 3: Cross multiply
    8,513.95x = 11,741.00 × 5,681.44
  4. Step 4: Simplify right side
    8,513.95x = 66,705,771.89
  5. Step 5: Solve for x
    x = 66,705,771.89/8,513.95
  6. Step 6: Final answer
    x = 7,834.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.