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Finding the Fourth Proportional to 21,572.34, 32,358.51 and 6,782.55

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Solution

The fourth proportional to 21,572.34, 32,358.51 and 6,782.55 is: 10,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.34 : 32,358.51 = 6,782.55 : x
  2. Step 2: Convert to fraction form
    21,572.34/32,358.51 = 6,782.55/x
  3. Step 3: Cross multiply
    21,572.34x = 32,358.51 × 6,782.55
  4. Step 4: Simplify right side
    21,572.34x = 219,473,212.00
  5. Step 5: Solve for x
    x = 219,473,212.00/21,572.34
  6. Step 6: Final answer
    x = 10,173.83

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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.