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Finding the Fourth Proportional to 6,684.64, 10,044.78 and 6,264.28

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Solution

The fourth proportional to 6,684.64, 10,044.78 and 6,264.28 is: 9,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.64 : 10,044.78 = 6,264.28 : x
  2. Step 2: Convert to fraction form
    6,684.64/10,044.78 = 6,264.28/x
  3. Step 3: Cross multiply
    6,684.64x = 10,044.78 × 6,264.28
  4. Step 4: Simplify right side
    6,684.64x = 62,923,314.46
  5. Step 5: Solve for x
    x = 62,923,314.46/6,684.64
  6. Step 6: Final answer
    x = 9,413.12

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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.