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Finding the Fourth Proportional to 9,287.88, 13,946.40 and 7,348.68

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Solution

The fourth proportional to 9,287.88, 13,946.40 and 7,348.68 is: 11,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.88 : 13,946.40 = 7,348.68 : x
  2. Step 2: Convert to fraction form
    9,287.88/13,946.40 = 7,348.68/x
  3. Step 3: Cross multiply
    9,287.88x = 13,946.40 × 7,348.68
  4. Step 4: Simplify right side
    9,287.88x = 102,487,630.75
  5. Step 5: Solve for x
    x = 102,487,630.75/9,287.88
  6. Step 6: Final answer
    x = 11,034.56

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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.