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Finding the Fourth Proportional to 23,497, 35,245.50 and 7,081

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Solution

The fourth proportional to 23,497, 35,245.50 and 7,081 is: 10,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497 : 35,245.50 = 7,081 : x
  2. Step 2: Convert to fraction form
    23,497/35,245.50 = 7,081/x
  3. Step 3: Cross multiply
    23,497x = 35,245.50 × 7,081
  4. Step 4: Simplify right side
    23,497x = 249,573,385.50
  5. Step 5: Solve for x
    x = 249,573,385.50/23,497
  6. Step 6: Final answer
    x = 10,621.50

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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.