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Finding the Fourth Proportional to 4,745, 6,548.13 and 2,649.14

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Solution

The fourth proportional to 4,745, 6,548.13 and 2,649.14 is: 3,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745 : 6,548.13 = 2,649.14 : x
  2. Step 2: Convert to fraction form
    4,745/6,548.13 = 2,649.14/x
  3. Step 3: Cross multiply
    4,745x = 6,548.13 × 2,649.14
  4. Step 4: Simplify right side
    4,745x = 17,346,913.11
  5. Step 5: Solve for x
    x = 17,346,913.11/4,745
  6. Step 6: Final answer
    x = 3,655.83

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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.