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Finding the Fourth Proportional to 14,562, 20,095.20 and 8,273.52

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Solution

The fourth proportional to 14,562, 20,095.20 and 8,273.52 is: 11,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 20,095.20 = 8,273.52 : x
  2. Step 2: Convert to fraction form
    14,562/20,095.20 = 8,273.52/x
  3. Step 3: Cross multiply
    14,562x = 20,095.20 × 8,273.52
  4. Step 4: Simplify right side
    14,562x = 166,258,039.10
  5. Step 5: Solve for x
    x = 166,258,039.10/14,562
  6. Step 6: Final answer
    x = 11,417.25

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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.