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Finding the Fourth Proportional to 17,580, 24,256.53 and 10,775.46

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Solution

The fourth proportional to 17,580, 24,256.53 and 10,775.46 is: 14,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580 : 24,256.53 = 10,775.46 : x
  2. Step 2: Convert to fraction form
    17,580/24,256.53 = 10,775.46/x
  3. Step 3: Cross multiply
    17,580x = 24,256.53 × 10,775.46
  4. Step 4: Simplify right side
    17,580x = 261,375,268.75
  5. Step 5: Solve for x
    x = 261,375,268.75/17,580
  6. Step 6: Final answer
    x = 14,867.76

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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.