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Finding the Fourth Proportional to 6,960.16, 9,605.05 and 4,165.66

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Solution

The fourth proportional to 6,960.16, 9,605.05 and 4,165.66 is: 5,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.16 : 9,605.05 = 4,165.66 : x
  2. Step 2: Convert to fraction form
    6,960.16/9,605.05 = 4,165.66/x
  3. Step 3: Cross multiply
    6,960.16x = 9,605.05 × 4,165.66
  4. Step 4: Simplify right side
    6,960.16x = 40,011,372.58
  5. Step 5: Solve for x
    x = 40,011,372.58/6,960.16
  6. Step 6: Final answer
    x = 5,748.63

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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.