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Finding the Fourth Proportional to 4,944.96, 7,417.43 and 1,658.06

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Solution

The fourth proportional to 4,944.96, 7,417.43 and 1,658.06 is: 2,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.96 : 7,417.43 = 1,658.06 : x
  2. Step 2: Convert to fraction form
    4,944.96/7,417.43 = 1,658.06/x
  3. Step 3: Cross multiply
    4,944.96x = 7,417.43 × 1,658.06
  4. Step 4: Simplify right side
    4,944.96x = 12,298,543.99
  5. Step 5: Solve for x
    x = 12,298,543.99/4,944.96
  6. Step 6: Final answer
    x = 2,487.09

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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.