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Finding the Fourth Proportional to 4,942.97, 7,364.54 and 4,707.87

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Solution

The fourth proportional to 4,942.97, 7,364.54 and 4,707.87 is: 7,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.97 : 7,364.54 = 4,707.87 : x
  2. Step 2: Convert to fraction form
    4,942.97/7,364.54 = 4,707.87/x
  3. Step 3: Cross multiply
    4,942.97x = 7,364.54 × 4,707.87
  4. Step 4: Simplify right side
    4,942.97x = 34,671,236.57
  5. Step 5: Solve for x
    x = 34,671,236.57/4,942.97
  6. Step 6: Final answer
    x = 7,014.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.