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Finding the Fourth Proportional to 8,294.56, 11,455.46 and 5,649.08

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Solution

The fourth proportional to 8,294.56, 11,455.46 and 5,649.08 is: 7,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.56 : 11,455.46 = 5,649.08 : x
  2. Step 2: Convert to fraction form
    8,294.56/11,455.46 = 5,649.08/x
  3. Step 3: Cross multiply
    8,294.56x = 11,455.46 × 5,649.08
  4. Step 4: Simplify right side
    8,294.56x = 64,712,809.98
  5. Step 5: Solve for x
    x = 64,712,809.98/8,294.56
  6. Step 6: Final answer
    x = 7,801.84

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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.