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Finding the Fourth Proportional to 7,604.62, 10,486.10 and 4,947.10

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Solution

The fourth proportional to 7,604.62, 10,486.10 and 4,947.10 is: 6,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.62 : 10,486.10 = 4,947.10 : x
  2. Step 2: Convert to fraction form
    7,604.62/10,486.10 = 4,947.10/x
  3. Step 3: Cross multiply
    7,604.62x = 10,486.10 × 4,947.10
  4. Step 4: Simplify right side
    7,604.62x = 51,875,785.31
  5. Step 5: Solve for x
    x = 51,875,785.31/7,604.62
  6. Step 6: Final answer
    x = 6,821.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.