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Finding the Fourth Proportional to 7,951.59, 10,965.65 and 4,764.42

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Solution

The fourth proportional to 7,951.59, 10,965.65 and 4,764.42 is: 6,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.59 : 10,965.65 = 4,764.42 : x
  2. Step 2: Convert to fraction form
    7,951.59/10,965.65 = 4,764.42/x
  3. Step 3: Cross multiply
    7,951.59x = 10,965.65 × 4,764.42
  4. Step 4: Simplify right side
    7,951.59x = 52,244,938.35
  5. Step 5: Solve for x
    x = 52,244,938.35/7,951.59
  6. Step 6: Final answer
    x = 6,570.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.