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Finding the Fourth Proportional to 25,769.60, 38,654.40 and 7,301.60

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Solution

The fourth proportional to 25,769.60, 38,654.40 and 7,301.60 is: 10,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.60 : 38,654.40 = 7,301.60 : x
  2. Step 2: Convert to fraction form
    25,769.60/38,654.40 = 7,301.60/x
  3. Step 3: Cross multiply
    25,769.60x = 38,654.40 × 7,301.60
  4. Step 4: Simplify right side
    25,769.60x = 282,238,967.04
  5. Step 5: Solve for x
    x = 282,238,967.04/25,769.60
  6. Step 6: Final answer
    x = 10,952.40

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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.