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Finding the Fourth Proportional to 14,762.74, 20,374.18 and 9,096.28

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Solution

The fourth proportional to 14,762.74, 20,374.18 and 9,096.28 is: 12,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.74 : 20,374.18 = 9,096.28 : x
  2. Step 2: Convert to fraction form
    14,762.74/20,374.18 = 9,096.28/x
  3. Step 3: Cross multiply
    14,762.74x = 20,374.18 × 9,096.28
  4. Step 4: Simplify right side
    14,762.74x = 185,329,200.57
  5. Step 5: Solve for x
    x = 185,329,200.57/14,762.74
  6. Step 6: Final answer
    x = 12,553.85

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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.