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Finding the Fourth Proportional to 9,292.93, 12,821.12 and 5,311.22

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Solution

The fourth proportional to 9,292.93, 12,821.12 and 5,311.22 is: 7,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.93 : 12,821.12 = 5,311.22 : x
  2. Step 2: Convert to fraction form
    9,292.93/12,821.12 = 5,311.22/x
  3. Step 3: Cross multiply
    9,292.93x = 12,821.12 × 5,311.22
  4. Step 4: Simplify right side
    9,292.93x = 68,095,762.41
  5. Step 5: Solve for x
    x = 68,095,762.41/9,292.93
  6. Step 6: Final answer
    x = 7,327.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.