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Finding the Fourth Proportional to 25,264.02, 37,896 and 8,615.64

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Solution

The fourth proportional to 25,264.02, 37,896 and 8,615.64 is: 12,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.02 : 37,896 = 8,615.64 : x
  2. Step 2: Convert to fraction form
    25,264.02/37,896 = 8,615.64/x
  3. Step 3: Cross multiply
    25,264.02x = 37,896 × 8,615.64
  4. Step 4: Simplify right side
    25,264.02x = 326,498,293.44
  5. Step 5: Solve for x
    x = 326,498,293.44/25,264.02
  6. Step 6: Final answer
    x = 12,923.45

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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.