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Finding the Fourth Proportional to 9,712.17, 13,410.33 and 7,584.01

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Solution

The fourth proportional to 9,712.17, 13,410.33 and 7,584.01 is: 10,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.17 : 13,410.33 = 7,584.01 : x
  2. Step 2: Convert to fraction form
    9,712.17/13,410.33 = 7,584.01/x
  3. Step 3: Cross multiply
    9,712.17x = 13,410.33 × 7,584.01
  4. Step 4: Simplify right side
    9,712.17x = 101,704,043.30
  5. Step 5: Solve for x
    x = 101,704,043.30/9,712.17
  6. Step 6: Final answer
    x = 10,471.81

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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.