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Finding the Fourth Proportional to 10,090.52, 13,894.97 and 7,252.89

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Solution

The fourth proportional to 10,090.52, 13,894.97 and 7,252.89 is: 9,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.52 : 13,894.97 = 7,252.89 : x
  2. Step 2: Convert to fraction form
    10,090.52/13,894.97 = 7,252.89/x
  3. Step 3: Cross multiply
    10,090.52x = 13,894.97 × 7,252.89
  4. Step 4: Simplify right side
    10,090.52x = 100,778,652.70
  5. Step 5: Solve for x
    x = 100,778,652.70/10,090.52
  6. Step 6: Final answer
    x = 9,987.46

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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.