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Finding the Fourth Proportional to 9,891.63, 13,651.55 and 5,643.74

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Solution

The fourth proportional to 9,891.63, 13,651.55 and 5,643.74 is: 7,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.63 : 13,651.55 = 5,643.74 : x
  2. Step 2: Convert to fraction form
    9,891.63/13,651.55 = 5,643.74/x
  3. Step 3: Cross multiply
    9,891.63x = 13,651.55 × 5,643.74
  4. Step 4: Simplify right side
    9,891.63x = 77,045,825.87
  5. Step 5: Solve for x
    x = 77,045,825.87/9,891.63
  6. Step 6: Final answer
    x = 7,788.99

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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.