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Finding the Fourth Proportional to 7,604.54, 11,406.73 and 5,006.86

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Solution

The fourth proportional to 7,604.54, 11,406.73 and 5,006.86 is: 7,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.54 : 11,406.73 = 5,006.86 : x
  2. Step 2: Convert to fraction form
    7,604.54/11,406.73 = 5,006.86/x
  3. Step 3: Cross multiply
    7,604.54x = 11,406.73 × 5,006.86
  4. Step 4: Simplify right side
    7,604.54x = 57,111,900.17
  5. Step 5: Solve for x
    x = 57,111,900.17/7,604.54
  6. Step 6: Final answer
    x = 7,510.24

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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.