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Finding the Fourth Proportional to 22,646.00, 33,969.07 and 7,854.92

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Solution

The fourth proportional to 22,646.00, 33,969.07 and 7,854.92 is: 11,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.00 : 33,969.07 = 7,854.92 : x
  2. Step 2: Convert to fraction form
    22,646.00/33,969.07 = 7,854.92/x
  3. Step 3: Cross multiply
    22,646.00x = 33,969.07 × 7,854.92
  4. Step 4: Simplify right side
    22,646.00x = 266,824,294.68
  5. Step 5: Solve for x
    x = 266,824,294.68/22,646.00
  6. Step 6: Final answer
    x = 11,782.40

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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.