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Finding the Fourth Proportional to 18,969.78, 26,178 and 10,472.76

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Solution

The fourth proportional to 18,969.78, 26,178 and 10,472.76 is: 14,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.78 : 26,178 = 10,472.76 : x
  2. Step 2: Convert to fraction form
    18,969.78/26,178 = 10,472.76/x
  3. Step 3: Cross multiply
    18,969.78x = 26,178 × 10,472.76
  4. Step 4: Simplify right side
    18,969.78x = 274,155,911.28
  5. Step 5: Solve for x
    x = 274,155,911.28/18,969.78
  6. Step 6: Final answer
    x = 14,452.25

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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.