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Finding the Fourth Proportional to 4,716.93, 6,509.16 and 2,829.57

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Solution

The fourth proportional to 4,716.93, 6,509.16 and 2,829.57 is: 3,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.93 : 6,509.16 = 2,829.57 : x
  2. Step 2: Convert to fraction form
    4,716.93/6,509.16 = 2,829.57/x
  3. Step 3: Cross multiply
    4,716.93x = 6,509.16 × 2,829.57
  4. Step 4: Simplify right side
    4,716.93x = 18,418,123.86
  5. Step 5: Solve for x
    x = 18,418,123.86/4,716.93
  6. Step 6: Final answer
    x = 3,904.68

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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.