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Finding the Fourth Proportional to 6,894.64, 9,515.16 and 4,242.96

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Solution

The fourth proportional to 6,894.64, 9,515.16 and 4,242.96 is: 5,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.64 : 9,515.16 = 4,242.96 : x
  2. Step 2: Convert to fraction form
    6,894.64/9,515.16 = 4,242.96/x
  3. Step 3: Cross multiply
    6,894.64x = 9,515.16 × 4,242.96
  4. Step 4: Simplify right side
    6,894.64x = 40,372,443.27
  5. Step 5: Solve for x
    x = 40,372,443.27/6,894.64
  6. Step 6: Final answer
    x = 5,855.63

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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.