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Finding the Fourth Proportional to 3,165.86, 4,748.68 and 974.53

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Solution

The fourth proportional to 3,165.86, 4,748.68 and 974.53 is: 1,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.86 : 4,748.68 = 974.53 : x
  2. Step 2: Convert to fraction form
    3,165.86/4,748.68 = 974.53/x
  3. Step 3: Cross multiply
    3,165.86x = 4,748.68 × 974.53
  4. Step 4: Simplify right side
    3,165.86x = 4,627,732.79
  5. Step 5: Solve for x
    x = 4,627,732.79/3,165.86
  6. Step 6: Final answer
    x = 1,461.76

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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.