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Finding the Fourth Proportional to 4,691.64, 7,038.22 and 1,770.20

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Solution

The fourth proportional to 4,691.64, 7,038.22 and 1,770.20 is: 2,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.64 : 7,038.22 = 1,770.20 : x
  2. Step 2: Convert to fraction form
    4,691.64/7,038.22 = 1,770.20/x
  3. Step 3: Cross multiply
    4,691.64x = 7,038.22 × 1,770.20
  4. Step 4: Simplify right side
    4,691.64x = 12,459,057.04
  5. Step 5: Solve for x
    x = 12,459,057.04/4,691.64
  6. Step 6: Final answer
    x = 2,655.59

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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.