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Finding the Fourth Proportional to 14,842.16, 22,262.16 and 7,439.12

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Solution

The fourth proportional to 14,842.16, 22,262.16 and 7,439.12 is: 11,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.16 : 22,262.16 = 7,439.12 : x
  2. Step 2: Convert to fraction form
    14,842.16/22,262.16 = 7,439.12/x
  3. Step 3: Cross multiply
    14,842.16x = 22,262.16 × 7,439.12
  4. Step 4: Simplify right side
    14,842.16x = 165,610,879.70
  5. Step 5: Solve for x
    x = 165,610,879.70/14,842.16
  6. Step 6: Final answer
    x = 11,158.14

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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.