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Finding the Fourth Proportional to 10,576.13, 14,595.02 and 5,796.08

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Solution

The fourth proportional to 10,576.13, 14,595.02 and 5,796.08 is: 7,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.13 : 14,595.02 = 5,796.08 : x
  2. Step 2: Convert to fraction form
    10,576.13/14,595.02 = 5,796.08/x
  3. Step 3: Cross multiply
    10,576.13x = 14,595.02 × 5,796.08
  4. Step 4: Simplify right side
    10,576.13x = 84,593,801.57
  5. Step 5: Solve for x
    x = 84,593,801.57/10,576.13
  6. Step 6: Final answer
    x = 7,998.56

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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.