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Finding the Fourth Proportional to 14,736.24, 22,097.88 and 7,809.12

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Solution

The fourth proportional to 14,736.24, 22,097.88 and 7,809.12 is: 11,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736.24 : 22,097.88 = 7,809.12 : x
  2. Step 2: Convert to fraction form
    14,736.24/22,097.88 = 7,809.12/x
  3. Step 3: Cross multiply
    14,736.24x = 22,097.88 × 7,809.12
  4. Step 4: Simplify right side
    14,736.24x = 172,564,996.67
  5. Step 5: Solve for x
    x = 172,564,996.67/14,736.24
  6. Step 6: Final answer
    x = 11,710.25

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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.