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Finding the Fourth Proportional to 7,234.68, 9,966.02 and 6,168.98

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Solution

The fourth proportional to 7,234.68, 9,966.02 and 6,168.98 is: 8,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.68 : 9,966.02 = 6,168.98 : x
  2. Step 2: Convert to fraction form
    7,234.68/9,966.02 = 6,168.98/x
  3. Step 3: Cross multiply
    7,234.68x = 9,966.02 × 6,168.98
  4. Step 4: Simplify right side
    7,234.68x = 61,480,178.06
  5. Step 5: Solve for x
    x = 61,480,178.06/7,234.68
  6. Step 6: Final answer
    x = 8,497.98

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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.