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Finding the Fourth Proportional to 14,842.96, 22,252.88 and 7,443.60

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Solution

The fourth proportional to 14,842.96, 22,252.88 and 7,443.60 is: 11,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.96 : 22,252.88 = 7,443.60 : x
  2. Step 2: Convert to fraction form
    14,842.96/22,252.88 = 7,443.60/x
  3. Step 3: Cross multiply
    14,842.96x = 22,252.88 × 7,443.60
  4. Step 4: Simplify right side
    14,842.96x = 165,641,537.57
  5. Step 5: Solve for x
    x = 165,641,537.57/14,842.96
  6. Step 6: Final answer
    x = 11,159.60

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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.