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Finding the Fourth Proportional to 4,597.60, 6,899.33 and 1,965.12

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Solution

The fourth proportional to 4,597.60, 6,899.33 and 1,965.12 is: 2,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.60 : 6,899.33 = 1,965.12 : x
  2. Step 2: Convert to fraction form
    4,597.60/6,899.33 = 1,965.12/x
  3. Step 3: Cross multiply
    4,597.60x = 6,899.33 × 1,965.12
  4. Step 4: Simplify right side
    4,597.60x = 13,558,027.87
  5. Step 5: Solve for x
    x = 13,558,027.87/4,597.60
  6. Step 6: Final answer
    x = 2,948.94

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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.