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Finding the Fourth Proportional to 23,322.24, 34,970.88 and 7,734.24

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Solution

The fourth proportional to 23,322.24, 34,970.88 and 7,734.24 is: 11,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.24 : 34,970.88 = 7,734.24 : x
  2. Step 2: Convert to fraction form
    23,322.24/34,970.88 = 7,734.24/x
  3. Step 3: Cross multiply
    23,322.24x = 34,970.88 × 7,734.24
  4. Step 4: Simplify right side
    23,322.24x = 270,473,178.93
  5. Step 5: Solve for x
    x = 270,473,178.93/23,322.24
  6. Step 6: Final answer
    x = 11,597.22

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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.