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Finding the Fourth Proportional to 4,762.74, 7,146.15 and 2,455.86

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Solution

The fourth proportional to 4,762.74, 7,146.15 and 2,455.86 is: 3,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.74 : 7,146.15 = 2,455.86 : x
  2. Step 2: Convert to fraction form
    4,762.74/7,146.15 = 2,455.86/x
  3. Step 3: Cross multiply
    4,762.74x = 7,146.15 × 2,455.86
  4. Step 4: Simplify right side
    4,762.74x = 17,549,943.94
  5. Step 5: Solve for x
    x = 17,549,943.94/4,762.74
  6. Step 6: Final answer
    x = 3,684.84

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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.