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Finding the Fourth Proportional to 25,697, 35,465.64 and 15,092.48

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Solution

The fourth proportional to 25,697, 35,465.64 and 15,092.48 is: 20,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697 : 35,465.64 = 15,092.48 : x
  2. Step 2: Convert to fraction form
    25,697/35,465.64 = 15,092.48/x
  3. Step 3: Cross multiply
    25,697x = 35,465.64 × 15,092.48
  4. Step 4: Simplify right side
    25,697x = 535,264,462.39
  5. Step 5: Solve for x
    x = 535,264,462.39/25,697
  6. Step 6: Final answer
    x = 20,829.84

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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.