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Finding the Fourth Proportional to 8,564.18, 11,820.54 and 5,574.81

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Solution

The fourth proportional to 8,564.18, 11,820.54 and 5,574.81 is: 7,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.18 : 11,820.54 = 5,574.81 : x
  2. Step 2: Convert to fraction form
    8,564.18/11,820.54 = 5,574.81/x
  3. Step 3: Cross multiply
    8,564.18x = 11,820.54 × 5,574.81
  4. Step 4: Simplify right side
    8,564.18x = 65,897,205.49
  5. Step 5: Solve for x
    x = 65,897,205.49/8,564.18
  6. Step 6: Final answer
    x = 7,694.52

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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.