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Finding the Fourth Proportional to 25,735, 35,515.26 and 14,556.76

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Solution

The fourth proportional to 25,735, 35,515.26 and 14,556.76 is: 20,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735 : 35,515.26 = 14,556.76 : x
  2. Step 2: Convert to fraction form
    25,735/35,515.26 = 14,556.76/x
  3. Step 3: Cross multiply
    25,735x = 35,515.26 × 14,556.76
  4. Step 4: Simplify right side
    25,735x = 516,987,116.16
  5. Step 5: Solve for x
    x = 516,987,116.16/25,735
  6. Step 6: Final answer
    x = 20,088.87

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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.