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Finding the Fourth Proportional to 23,824.60, 35,728.64 and 9,780.64

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Solution

The fourth proportional to 23,824.60, 35,728.64 and 9,780.64 is: 14,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.60 : 35,728.64 = 9,780.64 : x
  2. Step 2: Convert to fraction form
    23,824.60/35,728.64 = 9,780.64/x
  3. Step 3: Cross multiply
    23,824.60x = 35,728.64 × 9,780.64
  4. Step 4: Simplify right side
    23,824.60x = 349,448,965.53
  5. Step 5: Solve for x
    x = 349,448,965.53/23,824.60
  6. Step 6: Final answer
    x = 14,667.57

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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.