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Finding the Fourth Proportional to 4,746.12, 6,549.84 and 2,649.84

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Solution

The fourth proportional to 4,746.12, 6,549.84 and 2,649.84 is: 3,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.12 : 6,549.84 = 2,649.84 : x
  2. Step 2: Convert to fraction form
    4,746.12/6,549.84 = 2,649.84/x
  3. Step 3: Cross multiply
    4,746.12x = 6,549.84 × 2,649.84
  4. Step 4: Simplify right side
    4,746.12x = 17,356,028.03
  5. Step 5: Solve for x
    x = 17,356,028.03/4,746.12
  6. Step 6: Final answer
    x = 3,656.89

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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.