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Finding the Fourth Proportional to 19,987.60, 29,981.40 and 5,196.40

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Solution

The fourth proportional to 19,987.60, 29,981.40 and 5,196.40 is: 7,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.60 : 29,981.40 = 5,196.40 : x
  2. Step 2: Convert to fraction form
    19,987.60/29,981.40 = 5,196.40/x
  3. Step 3: Cross multiply
    19,987.60x = 29,981.40 × 5,196.40
  4. Step 4: Simplify right side
    19,987.60x = 155,795,346.96
  5. Step 5: Solve for x
    x = 155,795,346.96/19,987.60
  6. Step 6: Final answer
    x = 7,794.60

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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.