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Finding the Fourth Proportional to 6,952.93, 9,592.69 and 3,966.66

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Solution

The fourth proportional to 6,952.93, 9,592.69 and 3,966.66 is: 5,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.93 : 9,592.69 = 3,966.66 : x
  2. Step 2: Convert to fraction form
    6,952.93/9,592.69 = 3,966.66/x
  3. Step 3: Cross multiply
    6,952.93x = 9,592.69 × 3,966.66
  4. Step 4: Simplify right side
    6,952.93x = 38,050,939.72
  5. Step 5: Solve for x
    x = 38,050,939.72/6,952.93
  6. Step 6: Final answer
    x = 5,472.65

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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.