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Finding the Fourth Proportional to 19,444.50, 29,171.07 and 7,132.50

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Solution

The fourth proportional to 19,444.50, 29,171.07 and 7,132.50 is: 10,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,444.50 : 29,171.07 = 7,132.50 : x
  2. Step 2: Convert to fraction form
    19,444.50/29,171.07 = 7,132.50/x
  3. Step 3: Cross multiply
    19,444.50x = 29,171.07 × 7,132.50
  4. Step 4: Simplify right side
    19,444.50x = 208,062,656.78
  5. Step 5: Solve for x
    x = 208,062,656.78/19,444.50
  6. Step 6: Final answer
    x = 10,700.33

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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.