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Finding the Fourth Proportional to 9,520.84, 14,270.10 and 5,362.84

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Solution

The fourth proportional to 9,520.84, 14,270.10 and 5,362.84 is: 8,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.84 : 14,270.10 = 5,362.84 : x
  2. Step 2: Convert to fraction form
    9,520.84/14,270.10 = 5,362.84/x
  3. Step 3: Cross multiply
    9,520.84x = 14,270.10 × 5,362.84
  4. Step 4: Simplify right side
    9,520.84x = 76,528,263.08
  5. Step 5: Solve for x
    x = 76,528,263.08/9,520.84
  6. Step 6: Final answer
    x = 8,037.97

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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.