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Finding the Fourth Proportional to 9,735.68, 14,593.10 and 6,953.92

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Solution

The fourth proportional to 9,735.68, 14,593.10 and 6,953.92 is: 10,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.68 : 14,593.10 = 6,953.92 : x
  2. Step 2: Convert to fraction form
    9,735.68/14,593.10 = 6,953.92/x
  3. Step 3: Cross multiply
    9,735.68x = 14,593.10 × 6,953.92
  4. Step 4: Simplify right side
    9,735.68x = 101,479,178.70
  5. Step 5: Solve for x
    x = 101,479,178.70/9,735.68
  6. Step 6: Final answer
    x = 10,423.43

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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.