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Finding the Fourth Proportional to 9,564.88, 13,199.54 and 5,373.16

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Solution

The fourth proportional to 9,564.88, 13,199.54 and 5,373.16 is: 7,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.88 : 13,199.54 = 5,373.16 : x
  2. Step 2: Convert to fraction form
    9,564.88/13,199.54 = 5,373.16/x
  3. Step 3: Cross multiply
    9,564.88x = 13,199.54 × 5,373.16
  4. Step 4: Simplify right side
    9,564.88x = 70,923,240.35
  5. Step 5: Solve for x
    x = 70,923,240.35/9,564.88
  6. Step 6: Final answer
    x = 7,414.96

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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.