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Finding the Fourth Proportional to 8,549.19, 11,795.31 and 8,267.31

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Solution

The fourth proportional to 8,549.19, 11,795.31 and 8,267.31 is: 11,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.19 : 11,795.31 = 8,267.31 : x
  2. Step 2: Convert to fraction form
    8,549.19/11,795.31 = 8,267.31/x
  3. Step 3: Cross multiply
    8,549.19x = 11,795.31 × 8,267.31
  4. Step 4: Simplify right side
    8,549.19x = 97,515,484.32
  5. Step 5: Solve for x
    x = 97,515,484.32/8,549.19
  6. Step 6: Final answer
    x = 11,406.40

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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.