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Finding the Fourth Proportional to 9,981.60, 13,773 and 5,789.04

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Solution

The fourth proportional to 9,981.60, 13,773 and 5,789.04 is: 7,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.60 : 13,773 = 5,789.04 : x
  2. Step 2: Convert to fraction form
    9,981.60/13,773 = 5,789.04/x
  3. Step 3: Cross multiply
    9,981.60x = 13,773 × 5,789.04
  4. Step 4: Simplify right side
    9,981.60x = 79,732,447.92
  5. Step 5: Solve for x
    x = 79,732,447.92/9,981.60
  6. Step 6: Final answer
    x = 7,987.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.