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Finding the Fourth Proportional to 9,842.40, 14,747.40 and 8,384.40

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Solution

The fourth proportional to 9,842.40, 14,747.40 and 8,384.40 is: 12,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.40 : 14,747.40 = 8,384.40 : x
  2. Step 2: Convert to fraction form
    9,842.40/14,747.40 = 8,384.40/x
  3. Step 3: Cross multiply
    9,842.40x = 14,747.40 × 8,384.40
  4. Step 4: Simplify right side
    9,842.40x = 123,648,100.56
  5. Step 5: Solve for x
    x = 123,648,100.56/9,842.40
  6. Step 6: Final answer
    x = 12,562.80

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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.