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Finding the Fourth Proportional to 6,953.47, 10,420.45 and 3,834.93

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Solution

The fourth proportional to 6,953.47, 10,420.45 and 3,834.93 is: 5,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.47 : 10,420.45 = 3,834.93 : x
  2. Step 2: Convert to fraction form
    6,953.47/10,420.45 = 3,834.93/x
  3. Step 3: Cross multiply
    6,953.47x = 10,420.45 × 3,834.93
  4. Step 4: Simplify right side
    6,953.47x = 39,961,686.73
  5. Step 5: Solve for x
    x = 39,961,686.73/6,953.47
  6. Step 6: Final answer
    x = 5,747.02

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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.