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Finding the Fourth Proportional to 7,694.81, 10,618.84 and 4,158.01

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Solution

The fourth proportional to 7,694.81, 10,618.84 and 4,158.01 is: 5,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.81 : 10,618.84 = 4,158.01 : x
  2. Step 2: Convert to fraction form
    7,694.81/10,618.84 = 4,158.01/x
  3. Step 3: Cross multiply
    7,694.81x = 10,618.84 × 4,158.01
  4. Step 4: Simplify right side
    7,694.81x = 44,153,242.91
  5. Step 5: Solve for x
    x = 44,153,242.91/7,694.81
  6. Step 6: Final answer
    x = 5,738.05

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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.