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Finding the Fourth Proportional to 6,482.94, 8,946.55 and 3,830.79

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Solution

The fourth proportional to 6,482.94, 8,946.55 and 3,830.79 is: 5,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.94 : 8,946.55 = 3,830.79 : x
  2. Step 2: Convert to fraction form
    6,482.94/8,946.55 = 3,830.79/x
  3. Step 3: Cross multiply
    6,482.94x = 8,946.55 × 3,830.79
  4. Step 4: Simplify right side
    6,482.94x = 34,272,392.61
  5. Step 5: Solve for x
    x = 34,272,392.61/6,482.94
  6. Step 6: Final answer
    x = 5,286.55

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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.