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Finding the Fourth Proportional to 4,713.93, 6,509.16 and 3,932.08

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Solution

The fourth proportional to 4,713.93, 6,509.16 and 3,932.08 is: 5,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.93 : 6,509.16 = 3,932.08 : x
  2. Step 2: Convert to fraction form
    4,713.93/6,509.16 = 3,932.08/x
  3. Step 3: Cross multiply
    4,713.93x = 6,509.16 × 3,932.08
  4. Step 4: Simplify right side
    4,713.93x = 25,594,521.58
  5. Step 5: Solve for x
    x = 25,594,521.58/4,713.93
  6. Step 6: Final answer
    x = 5,429.55

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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.