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Finding the Fourth Proportional to 23,827.47, 35,729.64 and 7,184.40

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Solution

The fourth proportional to 23,827.47, 35,729.64 and 7,184.40 is: 10,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.47 : 35,729.64 = 7,184.40 : x
  2. Step 2: Convert to fraction form
    23,827.47/35,729.64 = 7,184.40/x
  3. Step 3: Cross multiply
    23,827.47x = 35,729.64 × 7,184.40
  4. Step 4: Simplify right side
    23,827.47x = 256,696,025.62
  5. Step 5: Solve for x
    x = 256,696,025.62/23,827.47
  6. Step 6: Final answer
    x = 10,773.11

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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.