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Finding the Fourth Proportional to 6,623.40, 9,942.30 and 3,707.40

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Solution

The fourth proportional to 6,623.40, 9,942.30 and 3,707.40 is: 5,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.40 : 9,942.30 = 3,707.40 : x
  2. Step 2: Convert to fraction form
    6,623.40/9,942.30 = 3,707.40/x
  3. Step 3: Cross multiply
    6,623.40x = 9,942.30 × 3,707.40
  4. Step 4: Simplify right side
    6,623.40x = 36,860,083.02
  5. Step 5: Solve for x
    x = 36,860,083.02/6,623.40
  6. Step 6: Final answer
    x = 5,565.13

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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.