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Finding the Fourth Proportional to 6,614.61, 9,922.16 and 1,684.36

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Solution

The fourth proportional to 6,614.61, 9,922.16 and 1,684.36 is: 2,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.61 : 9,922.16 = 1,684.36 : x
  2. Step 2: Convert to fraction form
    6,614.61/9,922.16 = 1,684.36/x
  3. Step 3: Cross multiply
    6,614.61x = 9,922.16 × 1,684.36
  4. Step 4: Simplify right side
    6,614.61x = 16,712,489.42
  5. Step 5: Solve for x
    x = 16,712,489.42/6,614.61
  6. Step 6: Final answer
    x = 2,526.60

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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.