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Finding the Fourth Proportional to 8,496.40, 12,740.46 and 3,564.70

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Solution

The fourth proportional to 8,496.40, 12,740.46 and 3,564.70 is: 5,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.40 : 12,740.46 = 3,564.70 : x
  2. Step 2: Convert to fraction form
    8,496.40/12,740.46 = 3,564.70/x
  3. Step 3: Cross multiply
    8,496.40x = 12,740.46 × 3,564.70
  4. Step 4: Simplify right side
    8,496.40x = 45,415,917.76
  5. Step 5: Solve for x
    x = 45,415,917.76/8,496.40
  6. Step 6: Final answer
    x = 5,345.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.