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Finding the Fourth Proportional to 9,571, 13,207.74 and 5,322.07

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Solution

The fourth proportional to 9,571, 13,207.74 and 5,322.07 is: 7,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571 : 13,207.74 = 5,322.07 : x
  2. Step 2: Convert to fraction form
    9,571/13,207.74 = 5,322.07/x
  3. Step 3: Cross multiply
    9,571x = 13,207.74 × 5,322.07
  4. Step 4: Simplify right side
    9,571x = 70,292,516.82
  5. Step 5: Solve for x
    x = 70,292,516.82/9,571
  6. Step 6: Final answer
    x = 7,344.32

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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.