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Finding the Fourth Proportional to 21,913.50, 32,853.84 and 7,113.58

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Solution

The fourth proportional to 21,913.50, 32,853.84 and 7,113.58 is: 10,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913.50 : 32,853.84 = 7,113.58 : x
  2. Step 2: Convert to fraction form
    21,913.50/32,853.84 = 7,113.58/x
  3. Step 3: Cross multiply
    21,913.50x = 32,853.84 × 7,113.58
  4. Step 4: Simplify right side
    21,913.50x = 233,708,419.15
  5. Step 5: Solve for x
    x = 233,708,419.15/21,913.50
  6. Step 6: Final answer
    x = 10,665.04

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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.