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Finding the Fourth Proportional to 25,296.16, 37,949.08 and 9,712.56

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Solution

The fourth proportional to 25,296.16, 37,949.08 and 9,712.56 is: 14,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.16 : 37,949.08 = 9,712.56 : x
  2. Step 2: Convert to fraction form
    25,296.16/37,949.08 = 9,712.56/x
  3. Step 3: Cross multiply
    25,296.16x = 37,949.08 × 9,712.56
  4. Step 4: Simplify right side
    25,296.16x = 368,582,716.44
  5. Step 5: Solve for x
    x = 368,582,716.44/25,296.16
  6. Step 6: Final answer
    x = 14,570.70

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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.