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Finding the Fourth Proportional to 22,643.32, 33,965 and 6,852.84

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Solution

The fourth proportional to 22,643.32, 33,965 and 6,852.84 is: 10,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.32 : 33,965 = 6,852.84 : x
  2. Step 2: Convert to fraction form
    22,643.32/33,965 = 6,852.84/x
  3. Step 3: Cross multiply
    22,643.32x = 33,965 × 6,852.84
  4. Step 4: Simplify right side
    22,643.32x = 232,756,710.60
  5. Step 5: Solve for x
    x = 232,756,710.60/22,643.32
  6. Step 6: Final answer
    x = 10,279.27

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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.