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Finding the Fourth Proportional to 7,322.88, 10,975.14 and 3,158.16

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Solution

The fourth proportional to 7,322.88, 10,975.14 and 3,158.16 is: 4,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.88 : 10,975.14 = 3,158.16 : x
  2. Step 2: Convert to fraction form
    7,322.88/10,975.14 = 3,158.16/x
  3. Step 3: Cross multiply
    7,322.88x = 10,975.14 × 3,158.16
  4. Step 4: Simplify right side
    7,322.88x = 34,661,248.14
  5. Step 5: Solve for x
    x = 34,661,248.14/7,322.88
  6. Step 6: Final answer
    x = 4,733.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.