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Finding the Fourth Proportional to 14,787.50, 20,410.22 and 9,752.63

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Solution

The fourth proportional to 14,787.50, 20,410.22 and 9,752.63 is: 13,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.50 : 20,410.22 = 9,752.63 : x
  2. Step 2: Convert to fraction form
    14,787.50/20,410.22 = 9,752.63/x
  3. Step 3: Cross multiply
    14,787.50x = 20,410.22 × 9,752.63
  4. Step 4: Simplify right side
    14,787.50x = 199,053,275.12
  5. Step 5: Solve for x
    x = 199,053,275.12/14,787.50
  6. Step 6: Final answer
    x = 13,460.91

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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.