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Finding the Fourth Proportional to 25,742.49, 38,609.75 and 7,024.01

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Solution

The fourth proportional to 25,742.49, 38,609.75 and 7,024.01 is: 10,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,742.49 : 38,609.75 = 7,024.01 : x
  2. Step 2: Convert to fraction form
    25,742.49/38,609.75 = 7,024.01/x
  3. Step 3: Cross multiply
    25,742.49x = 38,609.75 × 7,024.01
  4. Step 4: Simplify right side
    25,742.49x = 271,195,041.93
  5. Step 5: Solve for x
    x = 271,195,041.93/25,742.49
  6. Step 6: Final answer
    x = 10,534.92

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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.