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Finding the Fourth Proportional to 6,503.15, 9,755.28 and 4,769.70

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Solution

The fourth proportional to 6,503.15, 9,755.28 and 4,769.70 is: 7,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.15 : 9,755.28 = 4,769.70 : x
  2. Step 2: Convert to fraction form
    6,503.15/9,755.28 = 4,769.70/x
  3. Step 3: Cross multiply
    6,503.15x = 9,755.28 × 4,769.70
  4. Step 4: Simplify right side
    6,503.15x = 46,529,759.02
  5. Step 5: Solve for x
    x = 46,529,759.02/6,503.15
  6. Step 6: Final answer
    x = 7,154.96

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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.