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Finding the Fourth Proportional to 23,157.84, 34,741.62 and 7,574.25

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Solution

The fourth proportional to 23,157.84, 34,741.62 and 7,574.25 is: 11,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.84 : 34,741.62 = 7,574.25 : x
  2. Step 2: Convert to fraction form
    23,157.84/34,741.62 = 7,574.25/x
  3. Step 3: Cross multiply
    23,157.84x = 34,741.62 × 7,574.25
  4. Step 4: Simplify right side
    23,157.84x = 263,141,715.29
  5. Step 5: Solve for x
    x = 263,141,715.29/23,157.84
  6. Step 6: Final answer
    x = 11,362.96

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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.