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Finding the Fourth Proportional to 11,774.16, 17,649.72 and 5,622.48

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Solution

The fourth proportional to 11,774.16, 17,649.72 and 5,622.48 is: 8,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.16 : 17,649.72 = 5,622.48 : x
  2. Step 2: Convert to fraction form
    11,774.16/17,649.72 = 5,622.48/x
  3. Step 3: Cross multiply
    11,774.16x = 17,649.72 × 5,622.48
  4. Step 4: Simplify right side
    11,774.16x = 99,235,197.71
  5. Step 5: Solve for x
    x = 99,235,197.71/11,774.16
  6. Step 6: Final answer
    x = 8,428.22

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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.