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Finding the Fourth Proportional to 8,295.40, 11,443.56 and 6,164.14

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Solution

The fourth proportional to 8,295.40, 11,443.56 and 6,164.14 is: 8,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.40 : 11,443.56 = 6,164.14 : x
  2. Step 2: Convert to fraction form
    8,295.40/11,443.56 = 6,164.14/x
  3. Step 3: Cross multiply
    8,295.40x = 11,443.56 × 6,164.14
  4. Step 4: Simplify right side
    8,295.40x = 70,539,705.94
  5. Step 5: Solve for x
    x = 70,539,705.94/8,295.40
  6. Step 6: Final answer
    x = 8,503.47

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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.