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Finding the Fourth Proportional to 9,258.48, 13,823.80 and 7,940.12

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Solution

The fourth proportional to 9,258.48, 13,823.80 and 7,940.12 is: 11,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.48 : 13,823.80 = 7,940.12 : x
  2. Step 2: Convert to fraction form
    9,258.48/13,823.80 = 7,940.12/x
  3. Step 3: Cross multiply
    9,258.48x = 13,823.80 × 7,940.12
  4. Step 4: Simplify right side
    9,258.48x = 109,762,630.86
  5. Step 5: Solve for x
    x = 109,762,630.86/9,258.48
  6. Step 6: Final answer
    x = 11,855.36

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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.