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Finding the Fourth Proportional to 9,894.01, 13,655.79 and 9,096.07

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Solution

The fourth proportional to 9,894.01, 13,655.79 and 9,096.07 is: 12,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.01 : 13,655.79 = 9,096.07 : x
  2. Step 2: Convert to fraction form
    9,894.01/13,655.79 = 9,096.07/x
  3. Step 3: Cross multiply
    9,894.01x = 13,655.79 × 9,096.07
  4. Step 4: Simplify right side
    9,894.01x = 124,213,983.33
  5. Step 5: Solve for x
    x = 124,213,983.33/9,894.01
  6. Step 6: Final answer
    x = 12,554.47

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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.