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Finding the Fourth Proportional to 6,274.86, 9,411.57 and 1,658.22

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Solution

The fourth proportional to 6,274.86, 9,411.57 and 1,658.22 is: 2,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.86 : 9,411.57 = 1,658.22 : x
  2. Step 2: Convert to fraction form
    6,274.86/9,411.57 = 1,658.22/x
  3. Step 3: Cross multiply
    6,274.86x = 9,411.57 × 1,658.22
  4. Step 4: Simplify right side
    6,274.86x = 15,606,453.61
  5. Step 5: Solve for x
    x = 15,606,453.61/6,274.86
  6. Step 6: Final answer
    x = 2,487.14

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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.