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Finding the Fourth Proportional to 9,681.30, 14,523.93 and 5,523.30

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Solution

The fourth proportional to 9,681.30, 14,523.93 and 5,523.30 is: 8,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.30 : 14,523.93 = 5,523.30 : x
  2. Step 2: Convert to fraction form
    9,681.30/14,523.93 = 5,523.30/x
  3. Step 3: Cross multiply
    9,681.30x = 14,523.93 × 5,523.30
  4. Step 4: Simplify right side
    9,681.30x = 80,220,022.57
  5. Step 5: Solve for x
    x = 80,220,022.57/9,681.30
  6. Step 6: Final answer
    x = 8,286.08

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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.