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Finding the Fourth Proportional to 4,322.63, 6,485.01 and 1,549.50

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Solution

The fourth proportional to 4,322.63, 6,485.01 and 1,549.50 is: 2,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.63 : 6,485.01 = 1,549.50 : x
  2. Step 2: Convert to fraction form
    4,322.63/6,485.01 = 1,549.50/x
  3. Step 3: Cross multiply
    4,322.63x = 6,485.01 × 1,549.50
  4. Step 4: Simplify right side
    4,322.63x = 10,048,523.00
  5. Step 5: Solve for x
    x = 10,048,523.00/4,322.63
  6. Step 6: Final answer
    x = 2,324.63

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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.