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Finding the Fourth Proportional to 5,111.91, 7,666.04 and 1,649.16

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Solution

The fourth proportional to 5,111.91, 7,666.04 and 1,649.16 is: 2,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.91 : 7,666.04 = 1,649.16 : x
  2. Step 2: Convert to fraction form
    5,111.91/7,666.04 = 1,649.16/x
  3. Step 3: Cross multiply
    5,111.91x = 7,666.04 × 1,649.16
  4. Step 4: Simplify right side
    5,111.91x = 12,642,530.65
  5. Step 5: Solve for x
    x = 12,642,530.65/5,111.91
  6. Step 6: Final answer
    x = 2,473.15

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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.