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Finding the Fourth Proportional to 25,874.64, 38,810.44 and 7,154.22

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Solution

The fourth proportional to 25,874.64, 38,810.44 and 7,154.22 is: 10,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.64 : 38,810.44 = 7,154.22 : x
  2. Step 2: Convert to fraction form
    25,874.64/38,810.44 = 7,154.22/x
  3. Step 3: Cross multiply
    25,874.64x = 38,810.44 × 7,154.22
  4. Step 4: Simplify right side
    25,874.64x = 277,658,580.54
  5. Step 5: Solve for x
    x = 277,658,580.54/25,874.64
  6. Step 6: Final answer
    x = 10,730.92

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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.