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Finding the Fourth Proportional to 14,255.46, 19,651.95 and 9,772.11

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Solution

The fourth proportional to 14,255.46, 19,651.95 and 9,772.11 is: 13,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.46 : 19,651.95 = 9,772.11 : x
  2. Step 2: Convert to fraction form
    14,255.46/19,651.95 = 9,772.11/x
  3. Step 3: Cross multiply
    14,255.46x = 19,651.95 × 9,772.11
  4. Step 4: Simplify right side
    14,255.46x = 192,041,017.11
  5. Step 5: Solve for x
    x = 192,041,017.11/14,255.46
  6. Step 6: Final answer
    x = 13,471.40

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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.