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Finding the Fourth Proportional to 4,598.65, 6,895.80 and 3,213.55

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Solution

The fourth proportional to 4,598.65, 6,895.80 and 3,213.55 is: 4,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.65 : 6,895.80 = 3,213.55 : x
  2. Step 2: Convert to fraction form
    4,598.65/6,895.80 = 3,213.55/x
  3. Step 3: Cross multiply
    4,598.65x = 6,895.80 × 3,213.55
  4. Step 4: Simplify right side
    4,598.65x = 22,159,998.09
  5. Step 5: Solve for x
    x = 22,159,998.09/4,598.65
  6. Step 6: Final answer
    x = 4,818.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.