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Finding the Fourth Proportional to 7,137.60, 9,849.60 and 4,153.52

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Solution

The fourth proportional to 7,137.60, 9,849.60 and 4,153.52 is: 5,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.60 : 9,849.60 = 4,153.52 : x
  2. Step 2: Convert to fraction form
    7,137.60/9,849.60 = 4,153.52/x
  3. Step 3: Cross multiply
    7,137.60x = 9,849.60 × 4,153.52
  4. Step 4: Simplify right side
    7,137.60x = 40,910,510.59
  5. Step 5: Solve for x
    x = 40,910,510.59/7,137.60
  6. Step 6: Final answer
    x = 5,731.69

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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.