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Finding the Fourth Proportional to 7,543.94, 11,292.21 and 4,760.98

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Solution

The fourth proportional to 7,543.94, 11,292.21 and 4,760.98 is: 7,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.94 : 11,292.21 = 4,760.98 : x
  2. Step 2: Convert to fraction form
    7,543.94/11,292.21 = 4,760.98/x
  3. Step 3: Cross multiply
    7,543.94x = 11,292.21 × 4,760.98
  4. Step 4: Simplify right side
    7,543.94x = 53,761,957.74
  5. Step 5: Solve for x
    x = 53,761,957.74/7,543.94
  6. Step 6: Final answer
    x = 7,126.51

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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.