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Finding the Fourth Proportional to 14,951.76, 20,626.50 and 9,648.27

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Solution

The fourth proportional to 14,951.76, 20,626.50 and 9,648.27 is: 13,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.76 : 20,626.50 = 9,648.27 : x
  2. Step 2: Convert to fraction form
    14,951.76/20,626.50 = 9,648.27/x
  3. Step 3: Cross multiply
    14,951.76x = 20,626.50 × 9,648.27
  4. Step 4: Simplify right side
    14,951.76x = 199,010,041.16
  5. Step 5: Solve for x
    x = 199,010,041.16/14,951.76
  6. Step 6: Final answer
    x = 13,310.14

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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.