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Finding the Fourth Proportional to 9,808.45, 14,712.68 and 5,200.45

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Solution

The fourth proportional to 9,808.45, 14,712.68 and 5,200.45 is: 7,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.45 : 14,712.68 = 5,200.45 : x
  2. Step 2: Convert to fraction form
    9,808.45/14,712.68 = 5,200.45/x
  3. Step 3: Cross multiply
    9,808.45x = 14,712.68 × 5,200.45
  4. Step 4: Simplify right side
    9,808.45x = 76,512,530.70
  5. Step 5: Solve for x
    x = 76,512,530.70/9,808.45
  6. Step 6: Final answer
    x = 7,800.68

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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.