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Finding the Fourth Proportional to 14,486.76, 19,960.86 and 9,762.84

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Solution

The fourth proportional to 14,486.76, 19,960.86 and 9,762.84 is: 13,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.76 : 19,960.86 = 9,762.84 : x
  2. Step 2: Convert to fraction form
    14,486.76/19,960.86 = 9,762.84/x
  3. Step 3: Cross multiply
    14,486.76x = 19,960.86 × 9,762.84
  4. Step 4: Simplify right side
    14,486.76x = 194,874,682.44
  5. Step 5: Solve for x
    x = 194,874,682.44/14,486.76
  6. Step 6: Final answer
    x = 13,451.92

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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.