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Finding the Fourth Proportional to 25,792.75, 35,594 and 15,188.91

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Solution

The fourth proportional to 25,792.75, 35,594 and 15,188.91 is: 20,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.75 : 35,594 = 15,188.91 : x
  2. Step 2: Convert to fraction form
    25,792.75/35,594 = 15,188.91/x
  3. Step 3: Cross multiply
    25,792.75x = 35,594 × 15,188.91
  4. Step 4: Simplify right side
    25,792.75x = 540,634,062.54
  5. Step 5: Solve for x
    x = 540,634,062.54/25,792.75
  6. Step 6: Final answer
    x = 20,960.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.