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Finding the Fourth Proportional to 18,648.50, 25,735.34 and 10,265

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Solution

The fourth proportional to 18,648.50, 25,735.34 and 10,265 is: 14,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.50 : 25,735.34 = 10,265 : x
  2. Step 2: Convert to fraction form
    18,648.50/25,735.34 = 10,265/x
  3. Step 3: Cross multiply
    18,648.50x = 25,735.34 × 10,265
  4. Step 4: Simplify right side
    18,648.50x = 264,173,265.10
  5. Step 5: Solve for x
    x = 264,173,265.10/18,648.50
  6. Step 6: Final answer
    x = 14,165.93

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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.