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Finding the Fourth Proportional to 3,176.93, 4,766.10 and 985.68

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Solution

The fourth proportional to 3,176.93, 4,766.10 and 985.68 is: 1,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.93 : 4,766.10 = 985.68 : x
  2. Step 2: Convert to fraction form
    3,176.93/4,766.10 = 985.68/x
  3. Step 3: Cross multiply
    3,176.93x = 4,766.10 × 985.68
  4. Step 4: Simplify right side
    3,176.93x = 4,697,849.45
  5. Step 5: Solve for x
    x = 4,697,849.45/3,176.93
  6. Step 6: Final answer
    x = 1,478.74

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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.