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Finding the Fourth Proportional to 14,454.56, 19,947.20 and 7,830.56

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Solution

The fourth proportional to 14,454.56, 19,947.20 and 7,830.56 is: 10,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.56 : 19,947.20 = 7,830.56 : x
  2. Step 2: Convert to fraction form
    14,454.56/19,947.20 = 7,830.56/x
  3. Step 3: Cross multiply
    14,454.56x = 19,947.20 × 7,830.56
  4. Step 4: Simplify right side
    14,454.56x = 156,197,746.43
  5. Step 5: Solve for x
    x = 156,197,746.43/14,454.56
  6. Step 6: Final answer
    x = 10,806.12

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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.