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Finding the Fourth Proportional to 25,771.14, 38,656.68 and 7,303.14

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Solution

The fourth proportional to 25,771.14, 38,656.68 and 7,303.14 is: 10,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771.14 : 38,656.68 = 7,303.14 : x
  2. Step 2: Convert to fraction form
    25,771.14/38,656.68 = 7,303.14/x
  3. Step 3: Cross multiply
    25,771.14x = 38,656.68 × 7,303.14
  4. Step 4: Simplify right side
    25,771.14x = 282,315,145.98
  5. Step 5: Solve for x
    x = 282,315,145.98/25,771.14
  6. Step 6: Final answer
    x = 10,954.70

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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.