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Finding the Fourth Proportional to 7,827.57, 10,735.91 and 7,403.94

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Solution

The fourth proportional to 7,827.57, 10,735.91 and 7,403.94 is: 10,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.57 : 10,735.91 = 7,403.94 : x
  2. Step 2: Convert to fraction form
    7,827.57/10,735.91 = 7,403.94/x
  3. Step 3: Cross multiply
    7,827.57x = 10,735.91 × 7,403.94
  4. Step 4: Simplify right side
    7,827.57x = 79,488,024.23
  5. Step 5: Solve for x
    x = 79,488,024.23/7,827.57
  6. Step 6: Final answer
    x = 10,154.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.