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Finding the Fourth Proportional to 8,401.80, 11,595 and 5,564.22

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Solution

The fourth proportional to 8,401.80, 11,595 and 5,564.22 is: 7,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.80 : 11,595 = 5,564.22 : x
  2. Step 2: Convert to fraction form
    8,401.80/11,595 = 5,564.22/x
  3. Step 3: Cross multiply
    8,401.80x = 11,595 × 5,564.22
  4. Step 4: Simplify right side
    8,401.80x = 64,517,130.90
  5. Step 5: Solve for x
    x = 64,517,130.90/8,401.80
  6. Step 6: Final answer
    x = 7,678.97

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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.