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Finding the Fourth Proportional to 9,896.95, 13,627.45 and 9,103.48

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Solution

The fourth proportional to 9,896.95, 13,627.45 and 9,103.48 is: 12,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.95 : 13,627.45 = 9,103.48 : x
  2. Step 2: Convert to fraction form
    9,896.95/13,627.45 = 9,103.48/x
  3. Step 3: Cross multiply
    9,896.95x = 13,627.45 × 9,103.48
  4. Step 4: Simplify right side
    9,896.95x = 124,057,218.53
  5. Step 5: Solve for x
    x = 124,057,218.53/9,896.95
  6. Step 6: Final answer
    x = 12,534.89

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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.