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Finding the Fourth Proportional to 7,655.63, 11,486.17 and 3,762.77

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Solution

The fourth proportional to 7,655.63, 11,486.17 and 3,762.77 is: 5,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.63 : 11,486.17 = 3,762.77 : x
  2. Step 2: Convert to fraction form
    7,655.63/11,486.17 = 3,762.77/x
  3. Step 3: Cross multiply
    7,655.63x = 11,486.17 × 3,762.77
  4. Step 4: Simplify right side
    7,655.63x = 43,219,763.16
  5. Step 5: Solve for x
    x = 43,219,763.16/7,655.63
  6. Step 6: Final answer
    x = 5,645.49

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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.