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Finding the Fourth Proportional to 14,752.82, 22,109.07 and 7,813.46

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Solution

The fourth proportional to 14,752.82, 22,109.07 and 7,813.46 is: 11,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752.82 : 22,109.07 = 7,813.46 : x
  2. Step 2: Convert to fraction form
    14,752.82/22,109.07 = 7,813.46/x
  3. Step 3: Cross multiply
    14,752.82x = 22,109.07 × 7,813.46
  4. Step 4: Simplify right side
    14,752.82x = 172,748,334.08
  5. Step 5: Solve for x
    x = 172,748,334.08/14,752.82
  6. Step 6: Final answer
    x = 11,709.51

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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.