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Finding the Fourth Proportional to 4,334.63, 6,503.22 and 1,561.55

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Solution

The fourth proportional to 4,334.63, 6,503.22 and 1,561.55 is: 2,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.63 : 6,503.22 = 1,561.55 : x
  2. Step 2: Convert to fraction form
    4,334.63/6,503.22 = 1,561.55/x
  3. Step 3: Cross multiply
    4,334.63x = 6,503.22 × 1,561.55
  4. Step 4: Simplify right side
    4,334.63x = 10,155,070.67
  5. Step 5: Solve for x
    x = 10,155,070.67/4,334.63
  6. Step 6: Final answer
    x = 2,342.78

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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.