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Finding the Fourth Proportional to 14,888.75, 22,285.13 and 8,214.75

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Solution

The fourth proportional to 14,888.75, 22,285.13 and 8,214.75 is: 12,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,888.75 : 22,285.13 = 8,214.75 : x
  2. Step 2: Convert to fraction form
    14,888.75/22,285.13 = 8,214.75/x
  3. Step 3: Cross multiply
    14,888.75x = 22,285.13 × 8,214.75
  4. Step 4: Simplify right side
    14,888.75x = 183,066,730.59
  5. Step 5: Solve for x
    x = 183,066,730.59/14,888.75
  6. Step 6: Final answer
    x = 12,295.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.