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Finding the Fourth Proportional to 23,497.60, 35,251.20 and 7,916.80

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Solution

The fourth proportional to 23,497.60, 35,251.20 and 7,916.80 is: 11,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.60 : 35,251.20 = 7,916.80 : x
  2. Step 2: Convert to fraction form
    23,497.60/35,251.20 = 7,916.80/x
  3. Step 3: Cross multiply
    23,497.60x = 35,251.20 × 7,916.80
  4. Step 4: Simplify right side
    23,497.60x = 279,076,700.16
  5. Step 5: Solve for x
    x = 279,076,700.16/23,497.60
  6. Step 6: Final answer
    x = 11,876.82

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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.