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Finding the Fourth Proportional to 25,768.64, 38,656.32 and 7,301.12

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Solution

The fourth proportional to 25,768.64, 38,656.32 and 7,301.12 is: 10,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,768.64 : 38,656.32 = 7,301.12 : x
  2. Step 2: Convert to fraction form
    25,768.64/38,656.32 = 7,301.12/x
  3. Step 3: Cross multiply
    25,768.64x = 38,656.32 × 7,301.12
  4. Step 4: Simplify right side
    25,768.64x = 282,234,431.08
  5. Step 5: Solve for x
    x = 282,234,431.08/25,768.64
  6. Step 6: Final answer
    x = 10,952.63

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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.