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Finding the Fourth Proportional to 9,275.54, 13,830.56 and 8,245.22

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Solution

The fourth proportional to 9,275.54, 13,830.56 and 8,245.22 is: 12,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.54 : 13,830.56 = 8,245.22 : x
  2. Step 2: Convert to fraction form
    9,275.54/13,830.56 = 8,245.22/x
  3. Step 3: Cross multiply
    9,275.54x = 13,830.56 × 8,245.22
  4. Step 4: Simplify right side
    9,275.54x = 114,035,961.38
  5. Step 5: Solve for x
    x = 114,035,961.38/9,275.54
  6. Step 6: Final answer
    x = 12,294.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.