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Finding the Fourth Proportional to 10,523.70, 15,797.70 and 6,368.40

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Solution

The fourth proportional to 10,523.70, 15,797.70 and 6,368.40 is: 9,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.70 : 15,797.70 = 6,368.40 : x
  2. Step 2: Convert to fraction form
    10,523.70/15,797.70 = 6,368.40/x
  3. Step 3: Cross multiply
    10,523.70x = 15,797.70 × 6,368.40
  4. Step 4: Simplify right side
    10,523.70x = 100,606,072.68
  5. Step 5: Solve for x
    x = 100,606,072.68/10,523.70
  6. Step 6: Final answer
    x = 9,559.95

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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.