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Finding the Fourth Proportional to 9,497.70, 14,248.80 and 6,729.84

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Solution

The fourth proportional to 9,497.70, 14,248.80 and 6,729.84 is: 10,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.70 : 14,248.80 = 6,729.84 : x
  2. Step 2: Convert to fraction form
    9,497.70/14,248.80 = 6,729.84/x
  3. Step 3: Cross multiply
    9,497.70x = 14,248.80 × 6,729.84
  4. Step 4: Simplify right side
    9,497.70x = 95,892,144.19
  5. Step 5: Solve for x
    x = 95,892,144.19/9,497.70
  6. Step 6: Final answer
    x = 10,096.35

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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.