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Finding the Fourth Proportional to 21,656.97, 32,465.97 and 7,802.73

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Solution

The fourth proportional to 21,656.97, 32,465.97 and 7,802.73 is: 11,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.97 : 32,465.97 = 7,802.73 : x
  2. Step 2: Convert to fraction form
    21,656.97/32,465.97 = 7,802.73/x
  3. Step 3: Cross multiply
    21,656.97x = 32,465.97 × 7,802.73
  4. Step 4: Simplify right side
    21,656.97x = 253,323,198.10
  5. Step 5: Solve for x
    x = 253,323,198.10/21,656.97
  6. Step 6: Final answer
    x = 11,697.07

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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.