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Finding the Fourth Proportional to 25,249, 37,873.52 and 9,666.64

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Solution

The fourth proportional to 25,249, 37,873.52 and 9,666.64 is: 14,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,249 : 37,873.52 = 9,666.64 : x
  2. Step 2: Convert to fraction form
    25,249/37,873.52 = 9,666.64/x
  3. Step 3: Cross multiply
    25,249x = 37,873.52 × 9,666.64
  4. Step 4: Simplify right side
    25,249x = 366,109,683.37
  5. Step 5: Solve for x
    x = 366,109,683.37/25,249
  6. Step 6: Final answer
    x = 14,499.97

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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.