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Finding the Fourth Proportional to 25,227.68, 37,847.02 and 7,697.04

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Solution

The fourth proportional to 25,227.68, 37,847.02 and 7,697.04 is: 11,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.68 : 37,847.02 = 7,697.04 : x
  2. Step 2: Convert to fraction form
    25,227.68/37,847.02 = 7,697.04/x
  3. Step 3: Cross multiply
    25,227.68x = 37,847.02 × 7,697.04
  4. Step 4: Simplify right side
    25,227.68x = 291,310,026.82
  5. Step 5: Solve for x
    x = 291,310,026.82/25,227.68
  6. Step 6: Final answer
    x = 11,547.24

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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.