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Finding the Fourth Proportional to 11,775.12, 17,663.22 and 5,201.34

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Solution

The fourth proportional to 11,775.12, 17,663.22 and 5,201.34 is: 7,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.12 : 17,663.22 = 5,201.34 : x
  2. Step 2: Convert to fraction form
    11,775.12/17,663.22 = 5,201.34/x
  3. Step 3: Cross multiply
    11,775.12x = 17,663.22 × 5,201.34
  4. Step 4: Simplify right side
    11,775.12x = 91,872,412.71
  5. Step 5: Solve for x
    x = 91,872,412.71/11,775.12
  6. Step 6: Final answer
    x = 7,802.25

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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.