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Finding the Fourth Proportional to 6,614.48, 9,922.03 and 1,684.16

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Solution

The fourth proportional to 6,614.48, 9,922.03 and 1,684.16 is: 2,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.48 : 9,922.03 = 1,684.16 : x
  2. Step 2: Convert to fraction form
    6,614.48/9,922.03 = 1,684.16/x
  3. Step 3: Cross multiply
    6,614.48x = 9,922.03 × 1,684.16
  4. Step 4: Simplify right side
    6,614.48x = 16,710,306.64
  5. Step 5: Solve for x
    x = 16,710,306.64/6,614.48
  6. Step 6: Final answer
    x = 2,526.32

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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.