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Finding the Fourth Proportional to 5,096.34, 7,643.07 and 1,807.65

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Solution

The fourth proportional to 5,096.34, 7,643.07 and 1,807.65 is: 2,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.34 : 7,643.07 = 1,807.65 : x
  2. Step 2: Convert to fraction form
    5,096.34/7,643.07 = 1,807.65/x
  3. Step 3: Cross multiply
    5,096.34x = 7,643.07 × 1,807.65
  4. Step 4: Simplify right side
    5,096.34x = 13,815,995.49
  5. Step 5: Solve for x
    x = 13,815,995.49/5,096.34
  6. Step 6: Final answer
    x = 2,710.96

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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.