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Finding the Fourth Proportional to 4,630.53, 6,390.13 and 2,534.65

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Solution

The fourth proportional to 4,630.53, 6,390.13 and 2,534.65 is: 3,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.53 : 6,390.13 = 2,534.65 : x
  2. Step 2: Convert to fraction form
    4,630.53/6,390.13 = 2,534.65/x
  3. Step 3: Cross multiply
    4,630.53x = 6,390.13 × 2,534.65
  4. Step 4: Simplify right side
    4,630.53x = 16,196,743.00
  5. Step 5: Solve for x
    x = 16,196,743.00/4,630.53
  6. Step 6: Final answer
    x = 3,497.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.