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Finding the Fourth Proportional to 11,762.76, 17,645.34 and 4,745.18

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Solution

The fourth proportional to 11,762.76, 17,645.34 and 4,745.18 is: 7,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.76 : 17,645.34 = 4,745.18 : x
  2. Step 2: Convert to fraction form
    11,762.76/17,645.34 = 4,745.18/x
  3. Step 3: Cross multiply
    11,762.76x = 17,645.34 × 4,745.18
  4. Step 4: Simplify right side
    11,762.76x = 83,730,314.46
  5. Step 5: Solve for x
    x = 83,730,314.46/11,762.76
  6. Step 6: Final answer
    x = 7,118.25

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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.