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Finding the Fourth Proportional to 9,292.60, 12,823.54 and 5,314.11

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Solution

The fourth proportional to 9,292.60, 12,823.54 and 5,314.11 is: 7,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.60 : 12,823.54 = 5,314.11 : x
  2. Step 2: Convert to fraction form
    9,292.60/12,823.54 = 5,314.11/x
  3. Step 3: Cross multiply
    9,292.60x = 12,823.54 × 5,314.11
  4. Step 4: Simplify right side
    9,292.60x = 68,145,702.15
  5. Step 5: Solve for x
    x = 68,145,702.15/9,292.60
  6. Step 6: Final answer
    x = 7,333.33

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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.