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Finding the Fourth Proportional to 14,882.76, 22,284.12 and 7,848.12

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Solution

The fourth proportional to 14,882.76, 22,284.12 and 7,848.12 is: 11,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.76 : 22,284.12 = 7,848.12 : x
  2. Step 2: Convert to fraction form
    14,882.76/22,284.12 = 7,848.12/x
  3. Step 3: Cross multiply
    14,882.76x = 22,284.12 × 7,848.12
  4. Step 4: Simplify right side
    14,882.76x = 174,888,447.85
  5. Step 5: Solve for x
    x = 174,888,447.85/14,882.76
  6. Step 6: Final answer
    x = 11,751.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.