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Finding the Fourth Proportional to 5,931.32, 8,894.24 and 1,770.25

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Solution

The fourth proportional to 5,931.32, 8,894.24 and 1,770.25 is: 2,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.32 : 8,894.24 = 1,770.25 : x
  2. Step 2: Convert to fraction form
    5,931.32/8,894.24 = 1,770.25/x
  3. Step 3: Cross multiply
    5,931.32x = 8,894.24 × 1,770.25
  4. Step 4: Simplify right side
    5,931.32x = 15,745,003.91
  5. Step 5: Solve for x
    x = 15,745,003.91/5,931.32
  6. Step 6: Final answer
    x = 2,654.55

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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.