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Finding the Fourth Proportional to 25,769.16, 38,654.10 and 7,301.16

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Solution

The fourth proportional to 25,769.16, 38,654.10 and 7,301.16 is: 10,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.16 : 38,654.10 = 7,301.16 : x
  2. Step 2: Convert to fraction form
    25,769.16/38,654.10 = 7,301.16/x
  3. Step 3: Cross multiply
    25,769.16x = 38,654.10 × 7,301.16
  4. Step 4: Simplify right side
    25,769.16x = 282,219,768.76
  5. Step 5: Solve for x
    x = 282,219,768.76/25,769.16
  6. Step 6: Final answer
    x = 10,951.84

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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.