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Finding the Fourth Proportional to 6,655.76, 9,184.94 and 3,671.60

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Solution

The fourth proportional to 6,655.76, 9,184.94 and 3,671.60 is: 5,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.76 : 9,184.94 = 3,671.60 : x
  2. Step 2: Convert to fraction form
    6,655.76/9,184.94 = 3,671.60/x
  3. Step 3: Cross multiply
    6,655.76x = 9,184.94 × 3,671.60
  4. Step 4: Simplify right side
    6,655.76x = 33,723,416.51
  5. Step 5: Solve for x
    x = 33,723,416.51/6,655.76
  6. Step 6: Final answer
    x = 5,066.80

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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.