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Finding the Fourth Proportional to 4,684.53, 6,473.21 and 4,456.79

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Solution

The fourth proportional to 4,684.53, 6,473.21 and 4,456.79 is: 6,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.53 : 6,473.21 = 4,456.79 : x
  2. Step 2: Convert to fraction form
    4,684.53/6,473.21 = 4,456.79/x
  3. Step 3: Cross multiply
    4,684.53x = 6,473.21 × 4,456.79
  4. Step 4: Simplify right side
    4,684.53x = 28,849,682.95
  5. Step 5: Solve for x
    x = 28,849,682.95/4,684.53
  6. Step 6: Final answer
    x = 6,158.50

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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.