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Finding the Fourth Proportional to 4,646.96, 6,403.95 and 4,561.55

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Solution

The fourth proportional to 4,646.96, 6,403.95 and 4,561.55 is: 6,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.96 : 6,403.95 = 4,561.55 : x
  2. Step 2: Convert to fraction form
    4,646.96/6,403.95 = 4,561.55/x
  3. Step 3: Cross multiply
    4,646.96x = 6,403.95 × 4,561.55
  4. Step 4: Simplify right side
    4,646.96x = 29,211,938.12
  5. Step 5: Solve for x
    x = 29,211,938.12/4,646.96
  6. Step 6: Final answer
    x = 6,286.25

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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.