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Finding the Fourth Proportional to 9,814.02, 13,532.04 and 7,823.04

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Solution

The fourth proportional to 9,814.02, 13,532.04 and 7,823.04 is: 10,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.02 : 13,532.04 = 7,823.04 : x
  2. Step 2: Convert to fraction form
    9,814.02/13,532.04 = 7,823.04/x
  3. Step 3: Cross multiply
    9,814.02x = 13,532.04 × 7,823.04
  4. Step 4: Simplify right side
    9,814.02x = 105,861,690.20
  5. Step 5: Solve for x
    x = 105,861,690.20/9,814.02
  6. Step 6: Final answer
    x = 10,786.78

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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.